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Formulas

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Question
Answer
Mathematical Relationship Between t and F Distributions   (t(x))^2 = F (1, x)  
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Proportion of Variance Accounted For   r^2  
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Latin Square   as many rows/columns as there are levels; top is labeled Treatment Order, left is labeled Subjects/Subject Groups  
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Sums of Squares Formula   SS = E(X-Xbar)^2 E is the sum of X = # in data set Xbar = mean  
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When to Use: Test of a Single Sample Mean   used to compare the mean of one sample to the standard value  
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When to Use: Between Subjects t-Test   used to compare the means from between subjects designs that have one IV w/ exactly 2 levels  
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When to Use: Within Subjects t-Test   used to compare means from within subjects designs that have one IV w/ exactly 2 levels  
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When to Use: Between Subjects One-Way ANOVA   to compare the means from between subjects designs that have one IV w/ more than 2 levels  
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When to Use: Within Subjects One-Way ANOVA   used to compare the means from within subjects designs that have one IV w/ more than 2 levels  
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When to Use: Between Subjects Factorial ANOVA   used to compare the means from between subjects designs that have 2 IVs  
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When to Use: Between Subjects Variance Test   used to compare the variances from between subjects designs that have one IV w/ exactly 2 levels  
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When to Use: Within Subjects Variance Test   used to compare the variances from within subjects designs that have one IV w/ exactly 2 levels  
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When to Use: Correlation   to determine direction and strength of relationship between 2 variables measured on interval or ratio scale  
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When to Use: Test of Independent Frequencies   to compare frequencies of different responses, when each response comes from a different subject  
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