Directory to a variety of statistical procedures
Statistical Procedure  Type of Data Analyzed  Null Hypothesis Tested 
OneSample Tests 

Chisquare test of Goodness of Fit.  Categorical (nominallevel).  Cases are distributed over categories according theory. 
Student t testOne Sample and Dependent Samples.  Interval (continuous).  The sample is drawn from a population having a specific mean. 
Two IndependentSamples Tests 

Wilcoxon Independent Samples Test  Ordinal (rankordered) data.  The two samples are drawn from the same population (the median values of the two samples are identical). 
Chisquare Test of Equality of of Distributions (Independence)  Categorical (nominallevel)  This is typically use with crosstablulated data (i.e. for frequency data than can be cast in twofold or rows x columns table. The null hypotheses is that the row variable is independent of the column variable. 
MannWhitney U Test  Ordinal (rankordered) data.  The two samples are drawn from the same population (the median values of the two samples are identical). 
Student t Test for Independent Samples  Interval (continuous) data collected from two independent groups.  The two samples are drawn from a common population (they have the same mean). 
Two DependentSamples Tests 

Wilcoxon matched pairs signed ranks test 
Ordinal or interval (ordered metric scale) {A very powerful test,
especially for small samples} 
The medium difference (d = x  y) between members of pairs is zero. 
McNemar's Test for Matched Pairs  Categorical (nominallevel) 
The number of "A followed by B" pairs is equal to the number of "B
followed by A" pairs. 
Friedman Twoway ANOVA by Ranks  Ordinal (rankordered) data, usually ratings of several judges. 
The ratings of several judges are not related. 
Sign Test  Two sets of ordinal (rankordered) data collected on the the same individuals or pairs.  The median scores under the two conditions are identical. 
Student t test for dependent samples  Interval (continuous), for either a repeated measures or matchedpairs design.  The mean scores for the two (repeated or paired) observations are identical. 
Tests of Relationships (Correlations) 

Spearman correlation coefficient  Ordinal  No monotonic relationship between the variables. 
Pearson correlation  Interval  No linear relationship between the variables 
Comparing two correlation coefficients  Interval for raw data otherwise ordinal or interval  Two correlations are equal (in strength). 
Power and Effect Size Calculators 

g*Power Power analysis software from the Institut fur Experimentelle Psychologie, University of Dusseldorf. 
Power Analysis. Java applets for power and sample size 
Statistical Toolkit from DSS Research: A variety of statistical calculators, including power and sample size calculators. 
Webbased Sample Size and Power Calculators  


ADDITIONAL RESOURCES FOR STATISTICS 

Links to a variety of statistical resources 
A
Variety of Statistical Tools 

Visual Statistic System 
Visual
Labs in Prob. and Stats. 

Social Research Methods 
Excel Statistical Functions  
Free Stuff to Help in Learning Statistics 
StatSoft 

StatCrunch
(You need to register for this one) 

MetaAnalysis Procedures & Calculators 
IFA Statistical Procedures 

Stat Pages.net (A
variety of statistical procedures available on the web). 

The web pages listed here comprise a powerful,
convenientlyaccessible, multiplatform statistical software package. There
are also links to online statistics books, tutorials, downloadable software,
and related resources. All of these resources are freely accessible, once
you can get onto the Internet. 

Free Statistical Software from Free Statistics 