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STATISTICAL CALCULATIONS IN SPSS FREE
The free VitalSource Bookshelf® application allows you to access to your eBooks whenever and wherever you choose. Consult your local university statistical consulting group, if you have one.Routledge & CRC Press eBooks are available through VitalSource. It might be that other, simpler models might actually be easier to understand and more repeatable. I'm guess also that, based on the MANOVA, and the use of SPSS, this is a psychology or sociology project. The particular output statistics (Pillai's trace, etc.) suggest that the original analysis is a MANOVA example, which as other posters describe is a complicated, and hard to get right procedure. Opinion: many statisticians (myself included), find F-based tests to be unstable (jargon: non- robust). In general they arise from ratios of variances. The F is just a distribution (loosely: a description of the "frequencies" of groups of values), like a Normal (Gaussian), or Uniform. "Applied Multivariate Statistical Analysis" by Johnson and WichernĬan you explain more why SPSS itself isn't a fine solution to the problem? Is it that it generates pivot tables as output that are hard to manipulate? Is it the cost of the program?į-statistics can arise from any number of particular tests. I can't explain a text books worth of material here, I would advise you to start by looking at They have F distributions under certain assumptions. The names in your output (Pillai's Trace, Hotelling's Trace.) are some of the available multivariate versions. These aren't the F statistics you are seeing. The anova explained in his links is for a single variate response, in a balanced design. His explanation is likely of a special case of what you are actually dealing with. I'm afraid that the first answer (sain_grocen's) will lead you down the wrong path.
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I would suggest either getting the output from a pre-existing statistical program, or using one that you can link to and use that code. These would not be simple things to do outside of a statistical programming environment. These are all tests for significance of parameter estimates that are typically used in Multivariate response Multiple Regressions. In short: don't do this by hand, link/use existing software. Sorry to any math folks if any of this is wrong. The P value where this happens is the significance.Ĭonceptually, a lower significance value shows a very strong ability to reject the null hypothesis (which for these purposes means to determine your model has explanatory power). What you want to do is - using the degrees of freedom given to you by SPSS - find the proper P value at which an F table will give you the F statistic you calculated. Here's where your Wikipedia information comes in slightly handy. High F implies a highly significant model.Īs in many statistical operations, you back-determine Sig. This makes the F statistic measure exactly how powerful your model is, because the "between the groups" variance is explanatory power, and "within the groups" variance is random error. The second link above seems pretty good for this calculation. When you're doing analysis of variance (ANOVA), you actually calculate the F statistic as the ratio from the mean-square variances "between the groups" and the mean-square variances "within the groups". I'm working from a fairly rusty memory of a statistics course, but here goes nothing: This website might help you out a bit more.