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I am looking for the Relational Resilience Scale (RRS): The RRS is a self-report, multidimensional scale measuring couple's ability to recover after traumatic life experiences with 27 item which was developed by Aydogan and Ozbay.
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One of the authors of the scale are on researchgate https://www.researchgate.net/profile/Didem-Aydogan-2
You could reach out to them for the scale.
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Multidimensional scaling (MDS) refers to a class of techniques that use proximities among objects. A proximity is a number that indicates how similar or different the objects are perceived to be.
Accordingly, I want to execute content analysis of some products so as to group them based on certain features (especially congruent and incongruent brand features). In this case, I don't want to engaged any consumer's or user's perception or preference. it is going to be entirely done by the researcher by naturalistic observation - content analysis.
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The simple answer is "you can do whatever you want', the complex part is the burden you have explaining why you undertook this particular approach and further, why it would be of interest to others. That goes to the context you provide, the expected consumer of your research, and what the goal is. there is almost infinite number of types, and even more techniques and methods, as long as your upfront and honest, and not make any overly broad claims.
Consider medical research: https://news.harvard.edu/gazette/story/2004/04/scientists-discuss-experiments-on-self/ "Examples of self-experimentation range from physician Santorio Santorio’s 30-year, daily measurements of his weight, food intake, and bodily waste in the 16th century, to physician and physiologist Werner Forssmann’s experiments in 1929 and 1935 in which he inserted a catheter into a vein in his arm and pushed the tube up into his heart (he later won a Nobel Prize), to less harrowing contemporary practices such as blood draws, knee MRIs, and urine analyses."
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Hi,
Kindly, I have two questions related to the multidimensional scale model:
1- Is there a minimum number of objects (product) I need to apply to use the Multidimensional Scale (2 dimensions, not 3)?
2- What is the best Likert scale option to apply for Multidimensional Scale (1-4) (1-5) or (1-7)? "considering that I'm trying to reduce the neutral answer option."
Thank you!
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Thank you prof. David for your valuable answer...
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Hello researchers, I have this doubt and it is because as the name itself says "non-metric" (NMDS). I have assumed to use this technique but I don't know its limitations.
Could you get me out of this doubt please?
although I had thought about using the MFA but decided to go for the NMDS
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Dear Royer Rold, good luck.
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I am investigating how (dis-)similar bachelor students interested in pursuing a Master's degree perceive according offers (i.e. Master programmes from different universities). Altogether, I am comparing 15 Master degree programmes. Hence overall there are (15*14)/2 = 105 pairwise comparisons to be made. For obvious reasons, I cannot ask each respondent to make similarity ratings for each of the 105 pairings. I wonder if it is legitimate to have each repondent rate one (and only one) pair to which they are randomly assigned. As I do have access to a sample of several thousand students, I expect to have at least 10 similarity ratings for each pair of objects compared. I wonder if this procedure is statistically sound or if, in multidimensional scaling analysis, each participant must rate all possible pairings of objects (Master degree programmes in this case).
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Interesting topic
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Hi all,
Do I need to present a stress value for the fitting of my principal component analysis (as you would with an nMDS plot)?
If so, how can I calculate this in R?
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Standard PCA works different, its one projection of your data to another coordinate system. Its not an iterative process having a non-close form to optimise, where you need a stress value. So, you don't have any stress value and it does not make sense to calculate one. On the other hand, you have other statistics after PCA, like explained variance.
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For example in the paper De Jong, J. P., & Den Hartog, D. N. (2008). Innovative work behavior: Measurement and validation. EIM Business and Policy Research, 8(1), 1-27,
Innovative output is a dimension of innovative work behavior. Could I use this separately in a survey?
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Yes you can. All studies are different. So you can use any dimension or construct that is applicable to your study.
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I am constructing a multidimensional scale that measures factors as well as the prevalence of academic dishonesty. the factors include intrinsic motivation, extrinsic motivation, identified regulation ( which are correlated), parental influence, peer influence, social influence (which are correlated), and academic dishonesty. but not all the factors are correlated with each other. which rotation should I use? and the scale is prepared based on a developed model with strong theory. the model is supported when quartimax is used. but varimax is more accurate which is changing the solution. similarly, parallel analysis is giving 9 factors with the first tryout on sample of 329 and when went for second try for EFA-2 on a sample of 400 it is suggesting 8 factors... how will we get a proper model if it changes based on the sample
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To know how to answer your question you should say why you are doing an EFA? What research questions do you have? If everything is correlated, would a bi-factor model be reasonable?
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Instances of the 4th dimension include:
Time in Minkowski’s space-time (Raum und Zeit).
As flow or motion in various 4/3 laws.
But:
In a space-time distance, time squared is preceded by a sign opposite to that of the other lengths squared. Time is different.
Flow, motion and time trace a moving point along a line. The 3 spatial dimensions are static.
In the 4/3 law pertaining to energy the same energy in 4 dimensions has 4/3 as much energy in the corresponding 3 dimensional space. How can energy occupy a 4th dimension that models a moving point? Perhaps the model in the 4/3 law is wrong or incomplete? If it is incomplete, how is it incomplete? Is some aspect of time missing? In this portion of the comment on the question, accounting for the 4th dimensional status of motion affects understanding of the 4/3 laws.
Or is the 4th dimension nothing more than a mathematical construct?
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The three dimensions that we are familiar with are a human Cartesian geometric construct. Dimensions are a human perspective of reality, not something in nature themselves. From the human perspective of change and motion one can understand the necessity of 'including time as a dimension.
Take the universe as a whole, for instance. Stop time. That would mean nothing would ever change in it. It would always look exactly the same with no change or motion within it. The forth dimension of time would be missing. Start time up again and one would see our changing universe and then realize time as being the forth conceptually and mathematically necessary dimension to describe reality.
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Through multidimensional scaling I have obtained spaces of three different data sets. How could I go about comparing the spaces of these three data sets? Note that I'm not intending to find out which has the best goodness-of-fit, but how well the spaces fit onto each other.
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Carroll and Ostlie in An Introduction to Modern Astrophysics, second edition at page 1099 remark: “Cosmological redshifts are caused by the expansion of the space through which the light travels, so for extremely large distances the total elongation of the wavelength depends on how the expansion of the universe has changed with time.” The 4/3 laws are based on dimensional capacity and imply a distance in 3 dim space stretches by 4/3 compared to the same distance in 4 dim space-time. Is there a connection?
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  1. A. Chubykalo , A. Espinoza , V. Kuligin, M. Korneva. Once again about problem“4/3”. International Journal of Engineering Nechnologies and Management Research. Vol.6 (Iss.6): June 2019, ISSN: 2454-1907 DOI: 10.5281/zenodo.3271356
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Hi~
I was trying to run a multidimensional unfolding with the Prefscal function of SPSS, but it wouldn't execute because:
“Invariant part of the data found. Check, depending on conditionality chosen, your data for constant parts. ”
The variables entered were 10 colums of dissmilarity scores. I don't know if I understand what the warning means, but these scores surely are not constant.
Could you give me some advice on that?
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The Multidimensional Unfolding procedure a method to find a common quantitative scale that allows you to visually examine the relationships between two sets of objects. Please check the data is rectangular proximity matrices. and consider each separate column object similar way row of a proximity matrix is considered a separate row object and the matrices are stacked because proximities from multiple sources. it should have two variable and dimensions should not exceed number of ojects-1
A
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The no. of camera traps and the area of the study sites are not equal.
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Depends on what you mean by "comparing". If you would like to visualize how the multivariate community composition and abundances vary across sites, then NMDS is a great tool. If instead you wish to know definitively if the different agroecosystems differ in community composition, then another multivariate tool is needed. I would suggest PERMANOVA, and restricted PERMANOVA if you have concerns regarding independence within your study design.
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Multidimensional scaling (MDS) is used by multivariate data to create distances and analyze, similar to analyzing the data using categorical principal components analysis of normalized data. What is the difference between PROXSCAL and ALSCAL in MDS?
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Thank you.
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I wish to use self-monitoring scale developed by Richard D. Lennox and Raymond N. Wolfe ("Revision of self-monitoring"). It is a 2 factor structure scale with total 13 items-
(1) ability to modify self-presentation-7 items & (2) sensitivity to expressive behaviour of others-6 items .
But for a part of my study I am trying to show the impact of self-monitoring on consumption behaviour , so I feel only the first dimension (ability to modify self-representation) is useful for me . Also I have 6-7 more latent variables so the survey is already touching 90 questions so I want to minimise the items .
Can I just use the 7 items given by this scale (representing the first dimension of self-monitoring), without disturbing psychometric properties and still call the composite variable of these 7 items - "SELF MONITORING"? Is this an acceptable practice in Research ? (I will doing SEM eventually)
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You can use only that subscale but you must justify that specific theoretical concept instead of the general variable.
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Dear all,
does anybody know how many similarity judgments I need for each pair of stimuli in multidimensional scaling. For clarification: I am not talking about the number of comparisons. I know that there is the option for reduced designs, but this is not what I mean. I mean how many subjects have to indicate their perceived similarity among two stimuli. Does anybody know a source that provides an answer to this question?
Best,
Max
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Ok, many thanks for your effort!
Best,
Max
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Hi everyone,
I performed multiple regression and a nonmetric multidimensional scaling analyses in order to understand which environmental factors have the biggest impact on the abundance of several nitrogen cycling genes. From what I have been reading, the vectors fitted onto the ordination plot are calculated performing some kind of correlation analysis, so I was hoping to obtain similar results; however they seem to contradict each other.
Why is that?
Here are my multiple regression analysis results and the NMDS plot (colors represent the sampled stations and the shapes represent the sampled depth)
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In my opinion, from your table and figure, your two results are consistent instead of contradictory.
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I have images (shreds) and a dissimilarity matrix of these images .
How can I find a virtual coordinates that represent these images in 2-D (convert each image to one point with x & y coordinates) .
These coordinates should be order-respecting according to the dissimilarity matrix which mean if the true order of the images is : 5 - 2 - 1 - 7 - 3 - 4 - 6 .
Then when I find these coordinates and calculate new distance matrix between them it should give the same order .
I'm writing my code in Matlab and I used mdscale (a built-in function) and it's not work good
[coordinates,stress] = mdscale(D,2) ;
It find the coordinates, but it's not order-respecting and I tried another code in R but i didn't get a right solution .
This problem called "Non-classical Multidimensional Scaling" .
Any one can help me to find the true solution and I will be thankful for him/her.
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Thanks for replying
but this is not what i want
i want to represent the whole image as a one point with x&y coordinates
for example i have three images i want to find coordinates that represent each image, image1 ( -5 , 7) , image2 ( 14 , 6 ), image3 ( 8 , 17)
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Currently, I am working on a study and I want to identify the correlation of my two variables (Workload perception and Stress Appraisal). I don't have SPSS so I'm using excel in my computation. However, I'm a bit confused because the two scales don't have similar number of items. The first is unidimensional with 13 items and the other one is multidimensional which is consisted of 7 subscales with 4 items respectively. Both of them are a 5-point likert scale. I know that I need to correlate the unidimensional scale to each subscale of the multidimensional scale but I'm not sure if it will lead to a reasonable result considering that scores from a 13-item scale will be correlated to a 4-item subscale. Thanks in advance!
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prefer likert scale with OLS regression
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I'm working on a study and the first thing I did is to pilot test the research instruments I will be using. After the pilot testing, I used cronbach alpha to calculate its reliability. The research instruments are multidimensional. It is consised of different subscales. When I calculate for cronbach alpha some subscales showed low reliability scores.
One scale is consisted of 6 subscales and 2 from this subscales have low scores when I used cronbach alpha.
The second scale is consisted of 8 subscales and 1 from these subscales showed low reliability score.
What should I do about it? Can I still use the scales for my research? Or should I simply remove the subscales that show low reliability scores?
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Hello Floren,
Have these measures been used before, and, if so, is there any technical information to support the purported dimensions? If not, I'd suggest you try exploratory factor analysis to determine what, for your samples, might be a plausible structure. Then look at estimates of score reliability.
While Cronbach's alpha has been around for over 85 years, it is not necessarily the best indicator of scale quality. If you are stuck with using it, however, and are thoroughly convinced of the dimensionality of the measures used, then, your options are:
1. Drop scales with very low score reliability (however, that leaves you perhaps without the ability to address research questions of interest);
2. Modify the scales with very low score reliability, and try them again;
3. Replace the scales with very low score reliability, choosing better measures.
4. Use the scales, but acknowledge the low reliability as a limitation. If you have large sample sizes, and are only making group comparisons, the statistical power from the large N may be sufficient to overcome the noise that high amounts of measurement error introduce into the observed scores.
5. Use SEM, invoking a measurement model for each scale; the resultant factor scores would at least then be freed of measurement error.
Good luck with your work.
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What are other researchers experiences of using social isolation questionnaires? Do you have a preference? If so why?
I am a PhD student currently exploring questionnaires that I could potentially use to identify older adults (50+ in this project) levels of social isolation, as part of a larger project. I have come across several questionnaires (e.g. Duke Social Support Index, Lubben Social Network Scale, Social disconnectedness questionnaire, Medical Outcomes Study Social Support Survey, Multidimensional scale of perceived social support, Social network index, De Jong Gierveld Loneliness scale) and I am currently weighing up the pros and cons of each to make a decision on which to use in this project.
I have found that some cross over with loneliness, but I would like to have separate 'scores' for social isolation and loneliness, which potentially means separate questionnaires. I have found loneliness questionnaires relatively easy to narrow down, but social isolation I've found much harder.
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Stephen Cheung Thanks for these. I have come across them before and am using them to help make my decisions. Good to know I'm thinking along to right lines!
I suppose I am looking for researchers to share their experiences of using different scales/questionnaires.
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I am working on diversity analysis, NMDS has been used to discriminate ecosystems , its getting a stress value 0.02,0.03 etc how can is explain the stress value in the interpretation, i may wonder if any provides reliable literature also.
Many thanks in advance
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Maarten's answer is good, except the 'less than' sign is backwards. Basically, the opposite of what he said. Instead, it should read:
A rule of thumb: stress < 0.05 provides an excellent representation in reduced dimensions, < 0.1 is great, <0.2 is good/ok, and stress < 0.3 provides a poor representation. 
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Recent research has shown key important aspects with measurability of theoretical postulates verifying hypotheses parameters, processes, phenomena, and models.
Tensor matrices have necessarily roles to bring about complex nature manifesting spatially and temporarily. Explaining everything that is existing in terms of the fundamental entities have lead to realization of geometric topology space tensor manifold time evolving event gridnetwork.
Einstein's General Theory of Relativity, Quantum to Particle Theory of Everything, String Theory among others have measurability in mind a proof of model requirement automatically. For example, Schwartzchild blackhole mathematics helped to identify, observe, and measure singularity blackhole consequently, the recent telescopic photos observing directly, proving validity with General Theory of Relativity tensor predictive capability.
Providing the thumb rules, below certain associative relationships might connect mathematics with physics to measure model......
. typically scalars, scalar matrices are helpful to get statistical measurements that are analyzable observationally experimentally......
. tensors have stochastical vector matrices that aren't amenable to direct measurements. Hence transforming tensors or matrix tensors to scalar matrix systems are key to make measurable operational parametric graphical experimental observational gridnetworks.
My analyses metrix protocol techniques have yielded a rough estimate of overall globally ~80% of objects universally are measurable statistically. This will mean ~20% are uncertainity stochastic probabilities with a few% inherent immeasurable tensor network, aether may be example. I have space time sense 2x2 tensor grid part of a large tensor matrix that if transformed to 5 dimensional like scalar matrix natural manifolds protocol will help eventually in the quantitative grand unified theory of everything. There are more to come after our QFM/EM modeling going on with collaborative platform TEI.
Given below are a few references that are associated, not exhaustive, suggestions welcome. Additions editions expansions!!!!!
(6) Zurek, Wojciech H. (2003). "Decoherence, einselection, and the quantum origins of the classical". Reviews of Modern Physics. 75 (3): 715. arXiv:quant-ph/0105127. Bibcode:2003RvMP...75..715Z. doi:10.1103/revmodphys.75.715 & Dan Stahlke. "Quantum Decoherence and the Measurement Problem" (PDF). Retrieved 2011-07-23.
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Dr. Rajan Iyer,
Great review references of current research and our findings about this matter and pointing out about the tensor fields immeasurability problem generated sometimes by random local topological scalar fields variation.
For example a Black Hole is created by a tensor filed created on the fabric of spacetime due to random scalar variation of the vacuum energy density.
We usually observe the subsequent vector field thus the BH but have difficulty to see that the actuall cusality field is the tensor fied created due to scalar vacuum density variation.
Emmanouil
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I am proposing a study to test for moderation between social support and quality-of-life (QOL). For social support I am using the three subscales (family, friends, significant other) Multidimensional Scale of Social Support. For QOL I am using the WHOQOL-BREF which has four domains (Physical, psychological, social, environmental). For a moderator I am using a subscale measuring non-affirmation. I've been advised that i have to write out a hypothesis for each outcome variables (i.e. family support will predict higher Physical QOL; family support will predict higher Psychological QOL etc). If I do this, I will be writing 12+ hypotheses which seems to contradict the APA manuals' recommendation to be concise. I understand I have to first establish hypotheses that my predictor variables will have a relationship with my outcome variables but since there are multiple scales it seems repetitive.
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There is only 1 null hypothesis for each experiment. Or you can use Bayesian methods to match the hypothesis to the data
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I have a large set of molecules and I'd like to assess its diversity in terms of molecular structure, assuming I'm designing a screening library. My question is not what tools to use, but rather how should I interpret the results?
Let's say I choose clustering. How many clusters indicate a diverse library?
"Modern Approaches in Drug Discovery" suggests comparing Morgan fingerprints against Tanimoto distance matrix with multidimensional scaling applied, among others. But what will it get me?
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Here is one way to assess the diversity of a library:
1. Find out an approximate similarity threshold for the metric/descriptors used in the diversity analysis. For example, for the popular MACCS keys, the Tanimoto threshold is ~0.75; for ECFP4 (circular fingerprints implemented in Pipeline Pilot), the Tanimoto threshold is ~0.5.
2. Calculate all pairwise similarities for your library compounds.
3. Plot and analyze the probability density function for these similarity values. An ideally diverse library would not feature any pairwise similarity higher than the threshold (that is, every molecule is dissimilar from each other). For a fully redundant library, all pairwise distances would be higher than the threshold (that is, every molecule is similar to each other).
4. It is you call than to decide which kind of library do you need? That is, how much of redundancy would you accept? Keep in mind that an ideally diverse library is not well suited for screening. Ideally, every compound would be a member of a small family (cluster) of 10-20 compounds. If more than one family members show some activity in a screen, this may be considered as an indirect confirmation that these are true actives. Also, activity values for the family members can be used for a preliminary structure-activity relationships (SAR) analysis.
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It is a multidimensional scale and there are three factors. how to correct the alpha scores?
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Ohk!!! That sounds interesting I will definitely check that too. I am feeling so low and demoralized, as the outcome is not upto expectation. This puts me into a complicated situation. Tough luck!! Let's see!!
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I'm trying to set up my data in a way that allows me to use INDSCAL to find individual data. Each participants comes with a 40x40 table representing their judgements of similarity of 40 stimuli, like so:
1 2 3 ... 40
1
2
3
...
40
Whenever I run ALSCAL to calculate the differences, it says I have 1 matrix and not the number of participants, so my data doesn't process right. How can I set my data up so that SPSS knows which portion of data belongs to one participant, to then go through ALSCAL?
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I give this ball to Professor Pari Delir Haghighi at Monash University.
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I sampled algae from three wetland sites on 13 sampling events. At each wetland site on each sampling event, I collected one sample of algae from the same location at the centre of the wetland and 4 random samples of algae around the littoral zone (wetland margin). So for each event, there is 1 centre sample vs. 4 random littoral samples in each wetland site.
For each wetland site, I ran a non-metric multidimensional scaling (NMDS; PC-ORD) of taxon abundance × [site by event] matrix to visualise differences in community composition among zone types (centre vs. littoral) throughout the study.
I would like to explore the amount of temporal variability between the centre and the littoral zone algal communities throughout the study for each wetland site. I would like to calculate the total Euclidean distance between successive event samples for the centre and for the littoral zone in ordination space using the two NMDS axes in the final solution. This method would be fine for the central zone, since I sampled the same centre location for each event. But for the 4 randomly selected sites in the littoral zone on each event, how do I calculate the Euclidean distance when the 4 littoral sites are not the same for each sampling event. Would it be acceptable to calculate 4 Euclidean distances (even though the sites are random) and calculate the mean Euclidean distances with SE for the 4 littoral sites? Would calculating 16 possibe pairs of Eucli. distances suffice?
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Hi Luisa
1. I don't see the need to use euclidean distances from an ordination to look at compositional variation. NMDS is based on some measure of dissimilarity (Bray-Curtis is a popular option). Using the original dissimilarity measures seems like a more direct way of looking at this.
2. Differences between the random samples will be due to both space and time. You could explore this by comparing differences between random samples for a particular time interval (space only) with differences between random samples across time intervals (space and time).
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is it possible to conduct multidimensional scaling (MDS) in Minitab
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Following
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I have word association data and would like to work out potential relationships between categories. I'm envisaging output that shows which categories might sit together in space and which are far apart. However, I am not particularly handy with SPSS so have no natural instinct for the kind of analysis I should be doing. Someone suggested multidimensional scaling but I'm not sure this would work for me. Each of my participants have a number of categories assigned to them (because of the words they stated), they have not specified how similar or different they think a number of categories are. I hope my question makes sense. I would be very grateful for any input. Thanks, Katharine
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Following
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These proposals are for building a multidimensional scale that addresses the diversity of researchers' views
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This is an interesting research question that requires a deep dive into the litterature on IS performance. A good start might be achieved through reading IS research in ranked academic journals such as:
MIS Quarterly
The Journal of Management Information Systems
There are many others.
Perhaps you might also like to check journals that publis litterature reviews or meta-analysis such as:
International Journal of Management Reviews.
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I need it for my dissertation. Thank you.
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Hyunju Park and Tam Nguen are here on RG and they have the Korean version of MSPSS
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You can use quantitative variables in an NMS (non-metric multidimensional scaling) ordination & then see the r & r2 values of each variable on each axis. But what about categorical variables? What statistical/numeric output can you use to describe trends of the categorical variables by which objects in such an ordination are grouped?
Also, the program's text read-out for an NMS run says "p = proportion of randomized runs with stress < or = observed stress". Is this the p-value (probability-value) of statistics? What can you say about these p values? Each one is associated with an axis, so how would you describe the relationship between the p value, the axis, & the objects within the ordination?
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From the questions that you have, it does seem like it would be better to use a constrained form of ordination, such as Canonical Correspondence Analysis, which is also available in the programme PC-Ord.  In NMS the configuration of the sample objects is determined independently of the environmental variables and the r and r2 are only calculated afterwards. In constrained ordinations such as CCA the environmental variables that explain your dataset are already part of the analysis from the outset and this is therefore more suitable if you have specific questions about explanatory variables.
In CCA you can incorporate categorical variables beforehand by including all categories as separate variables giving each sampling object a value of either 1 or 0 to indicate the category that the sampling object should be allocated to. In the programme CANOCO you can show the nominal variables separately from the other explanatory variables as each category will be indicated as a point in the ordination diagram that represents the cluster centroid of all the sample objects that belong to that category, but I don't think PC-Ord has that option so there each of the categories will be represented by an arrow, just as an ordinary explanatory variable.
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I am working on assessment of water quality of different 04 estuaries.
I have done statistical analysis in SPSS. I need to know how to interprets the PCA during the low tide and high tide condition!!!
our study location around many of industries and domestic wastage dumping in these estuaries.
  i am writing a research paper so i want to add on the paper..
if any have idea than please guide me.
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The PCA's you provided are showing what appears to be different drives of water quality at the two tidal stages.
You may also want to try doing the PCA for each estuary separately. This may help you find relationships among variables that are specific to estuary or if you have similar signals regardless of location.
The two articles attached that should help you think about your PCA's.
This book is also very helpful for understanding multivariate statistics: A Primer of Ecological Statistics by Nicholas Gotelli and Aaron Ellison.
Feel free to message directly for discussing in more depth.
Hope this helps!
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Dear friends,
                Presently, i am involved in a project to assess the diversity of northeaten indian ocean deep-waters. I as used PRIMER v6 for plotting pca of diversity data of prawns in that region. i am uploading the plot, how can i interpret the plot interns of diversity of prawns in the particular region.
Many thanks in advance
Sileesh Mullasseri
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Please go through these papers.
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I would like to learn more about multidimensional scaling. How to use multidimensional scaling? Where can we use it? What is the procedure to perform multidimensional scaling? Is there any literature support for multidimensional scaling? Kindly update some details.
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A good book to start would be from Ingwer Borg, Patrick J F Groenen & Patrick Mair: Applied multidimensional scaling (Springer, 2013). I hardly recomend it.
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I'm exploring a species database to do a cluster analysis among samples (Q mode) and I would want to know if possible the use of one dummy variable in this case.
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Hi Carlos,
The BC in a presence/abscence matrix is equivalent to the Sorensen distance. I believe it is OK to add a dummy variable in this case. You jut need to know why you are using it. The use and effects of a dummy variable are very clearly explained in the document by Clarke et al. 2006 entitled "On resemblance measures for ecological studies, including taxonomic dissimilarities and a zero-adjusted Bray–Curtis coefficient for denuded assemblages".
Best!
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I sampled a community of fungi in different treatments and I would like to assess the effect of treatment in species composition.
I ran a NMDS and a global test with adonis (vegan) and I have found significant differences  among the treatments (p-vaue < 0.001). I have not been able to find any way to run pairwise contrast to know which of the treatments are significantly different. 
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Dear Maria,
your question was very relevant and it seems that many people have the same problem, according to the many views. The function I posted is now in use by many people, but once in a while I get a message from somebody claiming that the function is returning an error. I made some debugging to the original function and also added to possibility to use dissimilarities generated by 'daisy' from package 'cluster' rather that 'vegdist' from 'vegan'. You can find this function if you browse to all the posts, but my first answer was voted by many people so it appears first.
So It is very important that everybody of you vote to this answer here, were I am posting again the final function (below). Please use only this function.
To use the function. Read the header of the file below.
You can just copy&paste the content of the file to your running R session.
The use like this:
data(iris)
pairwise.adonis(iris[,1:4],iris$Species)
more examples in the file below.
enjoy, Pedro
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I am looking for books focusing on Multivariate Statistics for ecological studies. I get really confused grabbing some commonly used techniques such as cluster analysis, factor analysis, multiple regression, multidimensional scaling, principal component analysis, canonical correspondence analysis, analysis of similarity, similarity percentage analysis.
Please suggest me book/s where above statistical concepts are clearly discussed with relevant example/s (not too much verbose). 
Thanks in advance. 
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Applied multivariate statistical analysis 6th edition. 
Richard A Johnson & Dean W Wichern
This is a textbook that I used to learn multivariate statistics. Hope it will be helpful to you.
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Hi Everyone,
I'd appreciate your advise on a validated survey instrument used to measure cognitive dissonance (preferably in Management research). Any other survey instrument besides Menasco and Hawkins' (1978), Sweeney et al.'s (2000), Mishra and Kumar's (2016) cognitive dissonance measures.
For instance, while Menasco and Hawkins (1978) measured cognitive dissonance arousal, Sweeney et al (2000) measured cognitive dissonance purchase/marketing, Mishra and Kumar measured emotional dissonance in lieu of cognitive dissonance.
Sweeney, J. C., Hausknecht, D., & Soutar, G. N. (2000). Cognitive dissonance after purchase: A multidimensional scale. Psychology and Marketing, 17(5), 369-385.
Mishra, S. K., & Kumar, K. K. (2016). Minimizing the cost of emotional dissonance at work: a multi-sample analysis. Management Decision, 54(4), 778-795.
Menasco, M. B., & Del. I. Hawkins. (1978). A field test of the relationship between cognitive dissonance and state anxiety. Journal of Marketing Research, 650-655.
Thanking you in advance.
Tobi
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I need to use the measure to predict organizational behavior. 
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Hi. I am working on avifaunal assemblage of an estuary and I have 3 seasons data across 5 different habitat types. I used nmds ordination to look for any gradient in the assemblage across the habitats but in both 2-D and 3-D ordinations my stress values were high, almost equal to 0.3.
In such a case, reducing the number of species (using the most abundant species) would lead to a better ordination of the habitats or do I need to transform the abundances of all species before computing the dissimilarity matrix? I tried the second option using fourth root transformation, still the stress was higher than the non-transformed data. Or do I need to use a different ordination technique or a different dissimilarity matrix (I used Bray-Curtis)? If so please give some suggestions. (I use PAST and R for my analysis). 
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Hi, You need first to pretransform your data if there is strong dominance if suit to your hypotheses. Ordination, like nMDS are not test for difference. Use ANOSIM or PERMANOVA to test if there is difference among your factors with an appropriate design. Whatever the results, you can interpret it. You can illustrate the results with an nMDS only if it make sens stress below 0.25, otherwise do not present it. In your results you can describe differences in the main text without figures. Remember that only the tests for differences among factors count, and do not use the ordination to describe where are they. 
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I am trying to visualize trends of  particulate matter considering, at the same time, several spatiotemporal aspects such as sampling sites, seasons, daytime vs. nighttime, I want them all to be visually illustrated in on big graph
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Thanks for your suggestion, I will try it out
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I have replicated results with multiple samples using Euclidian Distance analysis with sample of around N=200, but now that my sample is of N=300, my results differ and they only replicate when I used the Squared Euclidian Distance. Is it possible that with increasing samples Squared Euclidian Distance is more appropriate?
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Most algorithms try to fit large distances over small ones, because the increase in fit is larger for them, whereas fitting small distances will have a much smaller effect on fit indices. When you square distances, the differences between large and small distances increases, and the advantage offered by fitting the former over the latter also increases. If you check both distance matrices (euclidean and squared euclidean) you can see how squaring affects both small and large distances for your data. Hope this will help.
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What are the advantages of doing multidimensional scaling analysis in MATLAB?
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Thanks Burak Erkut
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Hello,
I am studying wether the benthic invertebrate community could be used to estimate the variation and duration of hypoxia in coastal Baltic Sea. I have around 150 sample points for invertebrates and oxygen levels from the past decades for the sites. As a start, I would like to study the species composition.
From what I've understood Bray-Curtis dissimilarity is usually used in this kind of situation. I started by doing a bray curtis clustering and just for comparison a clustering with euclidean distance (both on sqrt-transformed values). I labeled the cluster groups and plotted them in multidimensional scaling, along with the numbers indicating the oxygen state.
After comparing the euclidean distance mds plots to the ones with bray curtis method, it seems that the groups formed with euclidean distance match better to the oxygen values.
Do you have some idea why euclidean distance seems to work here better, and wether it is acceptable to use it in this situation? There is samples (poor oxygen ones) that have only one or two random species. The whole dataset has around 25 taxons in the data. There is 5 species that are dominant in the samples. In the graphs different kind of plots are different clustering groups, numbers are oxygen groups (1= poor, 3= good, second number for variation 1 = few, 2 = much).
If you have some comment on this I would be glad to hear it.
Thank you for your help!
R
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Don't use euclidean distance for community composition comparisons!!!  In brief euclidean distance simple measures the distance between 2 points but it does not take species identity into account.  B-C does take species identity into account.  Thus Euclidean distance can give you a situation where you have two sites that share all the same species being farther apart (less similar) than two sites that don't share any species.  This can be particularity problematic when you have lots of zeros at a site (as you do).  See Legendre and Legendre (2012) for more details on this.  See the attached paper that looks at community composition in Chesapeake Bay and how hypoxia affects it for an example of how to go about presenting your analyses.
Legendre, P. & Legendre, L. (2012) Numerical Ecology. Third English edition. Elsevier Science BV, Amsterdam.
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Can anybody give me an advice on how to calculate an MDS (Multidimensional Scale) in SPSS based on a corellation matrix (Pearson)? I don't know how to transform correlations into distances. I would be thankful for any advices.
Best Regards
Benedict
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Thank you, I did it in SPSS (defining them as similarities instead of dissimilarities). Then I was able to choose Pearson's correlation index as "distances".
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This is for my multidimensional scaling ordination and canonical correspondence analysis
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I think you can use the software PAST to carry out that kind of analysis: http://folk.uio.no/ohammer/past/
It is very easy to use and has a proper manual.
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I'm trying to conduct a multidimensional scaling analysis on a dissimilarity matrix using SPSS. I am having no problem importing matrices that are up to 200x200. Over that amount however when using the automatic import wizard to import the data as a delimited text file it limits me to 200 columns (not rows) as it assumes these to be variables.
Is there anyway around this - other than not using SPSS?
Secondly, when I come to plot the 2D data's  new coordinates using SPSS's scatterplot plot creator, I don't seem to be able to associate more than one variable to each point. For example I can display information for genera or collection location (as either colour or symbol shape) but not for both  e.g. red, star vs. an red circle (Porites, Pacific vs Porites, Atlantic).
Is this possible in SPSS or should I stop fighting the urge to go back to some plotting specific software like sigmaplot or r.
Many thanks, 
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It could be useful to move to R, but remember that R uses only one core and SPSS can use more then one (if the procedure was written for it).
I read that you use a text delimited file to read into SPSS. Did you try to use EXCEL and read the EXCEL file into SPSS? It can read a complete EXCEL sheet with several hundreds of columns. (100.000 x 200). That might be a trick  to be used. Another option would be to split the file in two sets or more sets and have id-numbers for the  rows (first column). Split the data over two excel sheets (100 columns on each excel sheet, and on each sheet keep the first column, Read each sheet into SPSS, save them and join them again in SPSS with add variables using the identifier for each row,
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The quality of reduced dimension in classical MDS can be measured by shepard plot. Is there any other techniques such as Shepard plot to measure the quality of reduced dimension obtained from LLE (Locally Linear Embedding)?
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I think there is not a general approach. The quality of reduced dimension depends on the tasks.
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Dear researches:
I am analyzing different environmental factors that affect to avian communities in 64 urban and periurban areas. The question is that I have a good fitting with Redundance Analysis (ANOVA p<0,001) and more of 85% of the constrained variability in only two axis. A Canonical Principal Coordinate Analysis (CPCO) give similar values with binomial distance. Finally Non-metric Multidimensional Scaling (NMDS) give a perfect reconstruction (r=0,99) of binomial similarities using only two axis. The problem is that when I use envfit function of R (vegan) my results give very different environmental factors associated in the three analysis. Also I had used Principal Curve Analysis that give me a r=0,54. In this case, only a factor is associated to the curve and this is completely different to the other ordinations. In my opinion this ordination is erroneous. Apparently the best ordination is the NMDS but this is more an intuition based in my previous knowledge on bird species and studied areas. What criteria is the best? ANOVA? Mantel test between distances and predicted similarities for CPCO and NMDS? I am confuse regard this validation problems but I continue thinking in a general methodology. Many thanks
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Hi, I answer me ;-)
Lasse Ruokolainen & Kauko Salo (2006). Differences in performance of four ordination methods on a complex vegetation dataset. Ann. Bot. Fennici 43: 269–275
The question is complex by:
- Each species can be a different type of gradient (modal vs linear or others)
- Properties of the analysis had been derived of artificial data sets, simulations.
- Each analysis recover a part of the total information of real data sets
- Certain analysis are good recover the main gradient (CA, DCA) and others the general information (PCO, NMDS).
Consequently, we have not the best analysis. However is this paper the authors only test the analysis in a reduced context (two main axis and Bray-Curtis distance for Principal Coordinate Analysis and Non-metric Multidimensional Scaling).
According the authors, the research probably need test different methods, compare between them and finally choose. However, my question remain as relevant. What criteria we must choose?. Because science is objectivity and apparently the multivariate analysis have certain degree of subjectivity. I believe that I have the solution but I need another opinions.
Regards
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I'm analyzing family planning data in Indonesia. I want to explore the perception of potential client about contraception and their attributes. I want to understand further on how to make a statistical interpretation of multidimensional scaling. Thanks
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Sarah:
I'm not familiar with the statistical package you are using.  In the pdf paper above, Takane provides the 10 city inter-distance airline mileages.  This is a good set of data to work with as you learn how the stat program is working.  When you submit it to a Euclidean 2 dimensional solution (metric or non-metric), you will get a rough map of the United States, with one axis representing East-West and the other axis representing North-South.
This data in the above paper that I provided the link to is on page 34.  Run that data thru the program and see if you get the expected results.  Once you get a correct 2-d solution, you can play around with the program features that may be offered to see what it does.  Also make sure to look at a one dimensional and 3 dimensional solution to see if they provide any information to you about the underlying data set.  It will also be useful if you are currently studying the Kruskal and Wish book or the Takane pdf article--you can try some of their examples by modifying the stat program settings and observe what happens to the output.
- Jon
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I am working with classical multidimensional scaling and the configuration matrix for start the iterative process is ill-conditioned. For that reasen I am looking for methods to transform this matrix and obtain a better condition number
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The old trick, good for matrices making left hand side of the set of linear equation is to multiply each row (don't forget to do the same with right hand side(s)!) by qk.  The number qk is the inverse of geometric mean of absolute values of all non-zero matrix elements in row k.
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The aim is to compact a material to obtain a similar density. The scaling factor(s) should account for side effects between the smaller mould and the larger mould.
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Dear friend, very interesting question. I am interested to your question and will explain in detail soon (similar to my case). A bit hurry for this time, please remind me.
However, the easiest way is searching the related document by typing the keywords into google scholar. You will find some related articles.
If yet to find the articles, do not hesitate to let me know. InsyaALLAH I will help you in detail.
Good luck. Dr Zol Bahri - Universiti Malaysia Perlis
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I'm analyzing data from a study, where Multidimensional Scale of Perceived Social Support (MSPSS) is included. It seems that there are scores recorded for 12 items, but I don't know how to calculate the score. Do I just take the mean of 12 scores?
I searched online, and found the following statement:
The MSPSS can be scored to measure perceived support from family, friends, and a significant other, or global perceived support.
I'm wondering if that means rating from different individuals. Since I only have one set of scores for each subjects, can I assume that's "global perceived support"?
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Dear yan, 
Go here and you can download the scoring :
Circle the “1” if you Very Strongly Disagree
Circle the “2” if you Strongly Disagree
Circle the “3” if you Mildly Disagree
Circle the “4” if you are Neutral
Circle the “5” if you Mildly Agree
Circle the “6” if you Strongly Agree
Circle the “7” if you Very Strongly Agree
all your 12 items go from 1 to 7. 
Scoring Information:
To calculate mean scores:
Significant Other Subscale: Sum across items 1, 2, 5, & 10, then divide by 4.
Family Subscale: Sum across items 3, 4, 8, & 11, then divide by 4.
Friends Subscale: Sum across items 6, 7, 9, & 12, then divide by 4.
Total Scale: Sum across all 12 items, then divide by 12.
More information at:
Other MSPSS Scoring Options:
There are no established population norms on the MSPSS. Also, norms would likely vary on the basis of
culture and nationality, as well as age and gender. I have typically looked at how social support differs
between groups (e.g., married compared to unmarried individuals) or is associated with other measures (e.g.,
depression or anxiety). With these approaches you can use the mean scale scores.
If you want to divide your respondents into groups on the basis of MSPSS scores there are at least two ways
you can approach this process:
1. You can divide your respondents into 3 equal groups on the basis of their scores (trichotomize) and
designate the lowest group as low perceived support, the middle group as medium support, and the high
group as high support. This approach ensures that you have about the same number of respondents in each
group. But, if the distribution of scores is skewed, your low support group, for example, may include
respondents who report moderate or even relatively high levels of support.
2. Alternatively, you can use the scale response descriptors as a guide. In this approach any mean scale score
ranging from 1 to 2.9 could be considered low support; a score of 3 to 5 could be considered moderate
support; a score from 5.1 to 7 could be considered high support. This approach would seem to have more
validity, but if you have very few respondents in any of the groups, it could be problematic
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Good to have an agreement on ubiquity of 1/f scaling, I also am of the opinion experimental control is essential (see Hasselman, 2013). I would add that direct confrontation of theoretical predictions is crucial as well:
"In order to advance scientific knowledge about scaling phenomena in living systems a program of strong inference that aims to produce closed theories of principles is needed. In order to reach this goal, empirical inquiries need to go beyond describing scaling phenomena in different populations in the context of impaired performance or pathology (e.g., Goldberger et al., 2002; Gilden and Hancock, 2007; West, 2010; Wijnants et al., 2012a). Several recent studies reveal scaling phenomena can be brought under experimental control, which is essential for a program of strong inference (e.g., Kello et al., 2007; Wijnants et al., 2009; Van Orden et al., 2010; Correll, 2011; Holden et al., 2011; Kuznetsov et al., 2011; Stephen et al., 2012). The diverging theoretical predictions examined in most studies reveal that the observed waveforms are more likely to originate from interaction-dominant complexity than from component-dominant mechanics (also see Turvey, 2007; Kello et al., 2010; Diniz et al., 2011)."
At least these articles revealing experimental control over scaling exponents should have been discussed:
Then, there are many more  studies that make risky predictions or directly confront two or more competing predictions (in fact, all predictions in 1/f studies are more risky than mainstream, because they concern interval predictions and not merely > 0). In any case, they do much more than 'just' show another case of 1/f noise in some population.
All the best,
Fred
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Hi Brandon, thanks for your answer.
My questions were triggered by the article: "Experimental control of scaling behavior: what is not fractal?" by Aaron D Likens, Justin M Fine, Eric L Amazeen, Polemnia G Amazeen
I agree with the message of the article: Experimental control is crucial, but I claim that this has already been displayed in several previous studies of which I wonder why they were not discussed. For some reason these studies are also completely ignored by critics like Wagenmakers et al. (2012) http://www.ejwagenmakers.com/2012/WagenmakersEtAl2012Topics.pdf
To return to your question, yes I believe that in addition to experimental control, the predictions about scaling behavior based on a principled, complex system approach, are much more risky and therefore should not be considered irrelevant, because of the frequency with which scaling is encountered: Theoretical considerations yield interval estimates of measurement outcomes. Not many theories about cognitive phenomena can do such a thing. 
Moreover, if systematic absence or presence of associations (by correlation) between scaling exponents and more traditional performance measures is theoretically predicted for different populations, then this would go beyond 'merely' evidencing  
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I am not able to interpret how we are getting these values in MDS either positive or negative for a attribute for all the three dimension . 
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The answer to your question is that the system or software does the placing based on iterative program.  You must be aware that the option of simple euclidian/ weighted euclidian n others are present. The computrer uses your chosen method and calclutes the distance. The negative coordinates mean rating below the mean rating or ranking.
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I am doing research in measuring the subjective response to interior sound in automobile, and then the subjective response which is the SD rating is included in MDS analysis, since the raw data of SD rating is not in the required format for MDS,  I really wanted to know how the way to do it.
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If I understand you correctly, you seem to have to problems or areas of confusion.   You can use any measure of resemblance among samples for creating MDS.  It is vital to choose the correct type for the analysis you want. Your first problem seems to be that you don't know the appropriate measure for your mixed data.  To help with this I'd need more information.
The second, and more important, problem is that you have a series of explanatory variables and a potential response variable.  For this analysis therefore you don't want to include the response variable in the creation of the ordination (pre-treating data: standardisation, normalisation, transformation; calculating resemblance; ordination by (n)MDS.  Create the ordination using the explanatory variables and then relate them somehow to the response.  A common method is to scale symbols in size according to the level of the response variable. You can also do testing (e.g. Anosim) using levels of the response as a factor.
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For multivariate analysis, I would like to understand the differences between CCA and NMS.
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There are a number of different methods (scaling, component analysis, cluster analysis, etc.) that tend to share two traits. First, they are generally dimensionality reduction methods- they seek to take high dimensional datasets and capture the essential components, features, or structures and represent them in a lower dimensional space. Second, and relatedly, they tend to work by treating datasets in terms of similarity/dissimilarity, distances, projections, on other methods that could be described generally as "geometric" (see e.g., Le Roux & Rouanet's Geometric Data Analysis: From Correspondence to Structural Data Analysis; also, just about any text on MDS, NMDS, Nonlinear multidimensional scaling, etc., well have one or more sections devoted to distance metrics).
However, each method differs in important ways from the others (though not equally; some are fairly radically different while others are much more akin). Canonical correspondence analysis differs from MDS in general (and NMDS or "ordinal" MDS) in that it is fundamentally graphical and involves only two categorical variables. The method for constructing this table/graphic is similar to PCA. The idea is to depict the most accurate representation of relationships of observations/measurements/data points between both categories
MDS, on the other hand, is not restricted to any number of different categories or dimensions/axes along which lie some set of observations/data points. The key objective is to dimensionality reduction in which the lower dimensional space reveals similarities or proximities in the original dataset via distances between points in that space.
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A species matrice is analyzed in vegan (R statistics) with NMDS. The nonmetric multidimensional scaling technique is not using environmental data for ordination. Anyways the literature is plotting environmental arrows into the diagrammes. Stackoverflow discussions say this is not the right way. But it would be better to plot weighted averages of species or sample scores. What do you think?
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Hi,
if you choose to use an NMDS, try the Podani dissimilarity index, as it might be better than a Bray Curtis. Before that, I would recommend a transformation of your abundance data following a Leps & Sminauer scale.
Since you have abundance data, you can try to relate floristic data to environmental factors with a RDA (as recommended by Thomas), following a Hellinger transformation of your data as recommended by Legendre and Ghallager 2001
Pierre Legendre · Eugene D. Gallagher 2001 Ecologically meaningful transformations for ordination of species data. Oecologia 129:271–280 DOI 10.1007/s004420100716
all the best
Nina
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I would like to find a correlation in the dataset represented by three dimensional vector field (35x observed displacement vector field). I thought about the PCA analysis, but I am not sure how I can properly construct the covariance / correlation matrix on the given dataset. Please, is PCA a good way to start? I appreciate any suggestion. Thank you, .
Petr Henyš
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I think Canonical Correlation Analysis, which is inherently related to PCA and LDA, will your help you to find a pair of linear projections that maximizes the correlation between two sets of variates. You can use CCA between features and the target variable. In case of regression, you can  directly provide the response vector. In case of classification, you can provide the labels as 1-of-C coded label matrix (similar to that given to a Neural Network). This scheme reduces CCA to LDA!
In MATLAB the built-in function is canoncorr(). You may also find Magnus Borga's code online.
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Is there anybody who has seen implementation of MDS-MAP? I have done a Classical MDS implementation, but I am unable to find the MDS-MAP implementation.
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Excuse my ignorance, is this MDS work related to the minimum data set for nursing home care?
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I collected samples in streams and, in each of them sampled 10 riffles and 10 pools. To check for differences in the composition of the fauna I performed a ANOSIM two-way crossed, the factors were streams and mesohabitats; Another analysis that was performed to verify the difference between mesohabitats within each stream was the beta PCoA. In both analyzes I used the data of abundance and the Bray-Curtis coefficient.
However, in the analysis of similarity, a difference was found in the assemblage composition between streams and mesohabitats. And beta PCoA showed no difference between mesohabitats of each stream.
I'm unable to understand the differences in the results. What factors may be related these divergent results?
Andrés Baselga; Patricia Koleff; Adriano Melo
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It could well be an issue of power - you have far more observations in the ANOSIM compared to within-stream PCoA - or it might be that the PCoA test is not doing what you think it is.  Without seeing the data it's hard to tell.  What happens if you do a 1-way habitat test within each stream?
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Dear vegetation community and multivariate users,
I liked discussions here related to selection of different ordination methods. In this connection I have a query related to using NMDS score value as environmental variable and regression against a response variable. Bot NMDS axes were taken as latent environmental variable and done regression against response separately. I have a strong reason why I did that. Because sampling vegetation is hard to distinguish a clear controlling gradient. 
I shall be grateful of some feed back and discussions related to this topic.
I am using all of these analyses in R and vegan.
Thank you all in advance.
Chitra Baniya
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Dear Sean Haughian,
Thank you very much for your own answer as well as pdf as reference. It is a wonderful help. I got a problem here. My students have been studying vegetation in lowland flat area. I decided and suggested to use NMDS axis scores from their sample by species matrix. 
I wonder which method would be appropriate. All ordination methods have this type of problem.
Thank you.
Chitra
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Hello, everyone! I have a data of community composition, and I do a NMDS ordination to see how different treatment groups distributed, and after that, I want to make some analysis to test whether two groups are different for their community composition and which species contribute more to the difference. I know that software PRIMER can achieve this goal, but PRIMER is not a free software, and its function SIMPER has been criticized for some problems (see Warton et al. 2012). So, anyone who can give me some suggestions to finish this task in R software? Thanks in advance.
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Dear Wenhuai,
First of all I would like to recomend you to read some classic books on questions of communities structure. Becouse when you choose the method for this step to choose the the finest method for an other will be easer.
Also you could try PAST - it is free soft for ststistics and has good manual.
Best wishes,
Tatiana
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Is there anyone who knows about this methodology. I am considering employing this methodology to analyze speech perception of sounds. Thanks a lot!
Minghui,WU from Radboud University Nijmegen /Shanghai International Studies University
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I suggest that you read Chapter 1 in Volume 1 of the Second Edition of Steven's Handbook of Experimental Psychology. 1988. Published by John Wiley. 
It was written by Duncan Luce and Carol Krumhansl. Carol was a student of Roger Shepard's who developed multidimensional scaling. The answer by Morgan above is ver important. This is because it gives you the assumptions that have to be met before you can use this scaling method. 
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Testing dimensionality of scale I have found out that it differs based on original
For one country it is unidimensional, but for another - it appeared to be multidimensional.
What can we conclude out of this about usage of the scale? Is it bad or good or nothing? 
In general what is better (or when) - unidimensional scale or multidimensional scale?
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Read Hayduk and Littvay (2012).
This should help you get your head around the idea of unidimensional things. If a set of items is really unidimensional, then those items should load only on a single latent variable.
So - look at the original measure... what is the core of it? What is its essence?
Identify a set of items from the original scale that "really" measure just that core essence.... these items should all be valid indicators of the construct you are interested in - and according to Haduk and Littvay (2012), any one of them would suffice to measure the construct. Having more than one of the items is a luxury. Having too many items increases the chances that the additional items will start to include surplus meaning that is beyond the construct you are interested in.
So, having identified a core set of items that really measure JUST the latent variable of interest, and not other things as well, you should be confident that these items will be unidimensional, and that they should be unidimensional in all samples in which they are administered. This is a conceptual judgement -  not a statistical one.
Having identified a core set of items that really measure you construct, you can then go ahead and test for invariance across samples in terms of factor structure etc.
If your problem is with a scale that is long (many items, like CETSCALE), then the possibility increases that the scale contains items that reflect issues other than ethnocentrism. In this case, there is a strong possibility that different factor structures will be uncovered in different samples. The solution is to carefully extract a core set of (unidimensional) items from the original scale that do a good job tapping the theoretical construct of interest.
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In my research I need to use automatic scaling in both dimensions: horizontal and vertical. I found some works regarding horizontal scaling performance in cloud providers and hypervisors but nothing about vertical scaling overhead. I need scaling the VMs at run time.
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Hello Rapheal,
Vertical Scaling is a type of scaling where the resources of a VM are dynamically increased/decreased on demand.This is called Balloning in Xen.
While creating a VM, Max RAM Limit, Default RAM limit is obtained from User.
When Demand increases, User can dynamically  increase  current RAM up to  MAX RAM limit as mentioned earlier.
When ever load decreased, user shall scale down.
But the community say it as a Nasty Work and they suggest not to go for Vertical Scaling.Another reason is that, increasing memory of one VM, will affect other VM's running on the Server.
See these links for ballooning in Xen
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Srikrishnan
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Can anyone assist me and tell me if they are aware of any advances in multidimensional data analysis in the behavioural sciences?
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Actually I am not able to locate advances from the last 10-15 years. All methods have deeper roots but are of course modified times and again. Here are some references:
 Armitage, Christopher J.; Conner, Mark (2001). Efficacy of the Theory of Planned Behaviour: A meta-analytic review. British Journal of Social Psychology (2001), 40, 471–499
Breslow, N.E.; Clayton, D.G. (1993). "Approximate Inference in Generalized Linear Mixed Models". Journal of the American Statistical Association 88 (421): 9–25. doi:10.2307/2290687. JSTOR 2290687. 
Cohen, J., Cohen P., West, S.G., & Aiken, L.S. (2003). Applied multiple regression/correlation analysis for the behavioral sciences. (2nd ed.) Hillsdale, NJ: Lawrence Erlbaum Associates
Fitzmaurice, Garrett M.; Laird, Nan M.; Ware, James H. (2004). Applied longitudinal analysis. Hoboken, NJ: Wiley-Interscience. ISBN 0-471-21487-6. 
Rasch Models for Ordered Response Categories. David Andrich Published Online: 15 OCT 2005 DOI: 10.1002/0470013192.bsa541 Copyright © 2005 John Wiley & Sons, Ltdhttp://onlinelibrary.wiley.com/doi/10.1002/0470013192.bsa541/abstract
and we all have our favorite textbook when it comes to statistics in psychology and I presume that it is the case also in other behavioral fields of science,
Béatrice
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What's the procedure to do multidimensional scaling in spss, and in which case shall I do it?
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From the menus of SPSS choose:
Analyze Scale Multidimensional Scaling…
In Distances, select either Data are distances or Create distances from data.
If your data are distances, you must select at least four numeric variables for analysis, and you can click Shape to indicate the shape of the distance matrix.
If you want SPSS to create the distances before analyzing them, you must select at least one numeric variable, and you can click Measure to specify the type of distance measure you want. You can create separate matrices for each category of a grouping variable (which can be either numeric or string) by moving that variable into the Individual Matrices For list.
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Is there somebody with experience using Multidimensional Scaling for Java (MDSJ) libraries to produce 3D diagrams from dimensional / dissimilarity matrices or using another java open source or free java library?
I am using the java library mdsj.jar from http://www.inf.uni-konstanz.de/algo/software/mdsj/ version 0.8 2008 (there is a newer one from 2009) but I am having problems with verifying the results against results provided using R.
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Thanks very much I'll check this out, it seems an interesting reference!
Fyi: Now, I figured out how to use the library MDSJ and also how to produce MDS 3D representations starting from perceptual parameters.
I start with the parameters, in this case 24 and transform them in distances, produce the MDS matrix and then display in 3D, all using Java libs.
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I know Multidimensional Scaling uses only a distance matrix, but Self-Organizing Map requires coordinates of points in the original space. What are some other dimensionality reduction techniques, such as Multidimensional Scaling, that need only a distance matrix rather than point coordinates?
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Thanks, Evaldas. I just found Isomap works pretty well for my problem. Nice research though !
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Recently when I tried to visualize similarities between different groups in a social network, I discovered an interesting phenomenon which I couldn't explain. Can someone give me some insight on this?
The story is as follows: Users can create different groups on our social network website, and we'd like to visualize the similarities between different groups in 2D. We use the group members and their page views within the group as the feature vector of each group, and the similarity between groups is computed as the cosine similarity between their feature vectors. I used multidimensional scaling ( cmdscale in R ) to reduce the data into 2D and visualized the data.
The result of the MDS is points lined up with some lines orthogonal to each other. Can someone explain why this is happening?
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I agree with Sajid. (Though it could be an artifact, too.)
The reasoning is: each point is a group - originally in num-users dimensional space. You derive distances using cosine similarity. Then you use classical multidimensional scaling to reproduce these distances approximately in 2D space.
In this space the distances between certain pairs of groups are very small. This closeness is transitive, leading to the lines. Thus, one can interpret the lines as communities - people who read one group are likely to have overlapping interests in a nearby group.
The groups nearer to the center have broader fan-bases, they are relatively close to more than just two neighbors. This indicates significant overlap - though not as much as the overlap between two groups near one another in the same line, but still more than the overlap groups at opposite ends of the same line would have.
The orthogonality comes, in part, from almost complete lack of overlap between groups on the tips of each line. Those would contain the most specialized interests of each community, which only members of the same community are interested in. I would look at those groups to find clues to simple descriptions of the communities.