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Difference
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Continuous Variable of Interest
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One Sample Tests (single group)
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Normal Variable of Interest
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Your StatsTest Is The Single Sample T-Test
Normal Variable of Interest and Population Variance Known
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Your StatsTest Is The Single Sample Z-Test
Skewed Variable of Interest
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Your StatsTest Is The Single Sample Wilcoxon Signed-Rank Test
Two Sample Tests (2 groups)
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Independent Samples
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Normal Variable of Interest
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Your StatsTest Is The Independent Samples T-Test
Normal Variable of Interest and Population Variance Known
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Your StatsTest Is The Independent Samples Z-Test
Skewed Variable of Interest
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Your StatsTest Is The Mann-Whitney U Test
Paired Samples (repeated measurements)
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Normal Variable of Interest
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Your StatsTest Is The Paired Samples T-Test
Normal Variable of Interest and Population Variance Known
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Your StatsTest Is The Paired Samples Z-Test
Skewed Variable of Interest
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Your StatsTest Is The Wilcoxon Signed-Rank Test
Many Samples Tests (3+ groups)
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Independent Samples
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Normal Variable of Interest
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(one group variable) Your StatsTest Is The One-Way ANOVA
(one group variable with covariate) Your StatsTest Is The One-Way ANCOVA
(2 or more group variables) Your StatsTest Is The Factorial ANOVA
Skewed Variable of Interest
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Your StatsTest Is The Kruskal-Wallis One-Way ANOVA
Paired Samples (repeated measurements)
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Normal Variable of Interest
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(one group variable) Your StatsTest Is The One-Way Repeated Measures ANOVA
(2 or more group variables) Your StatsTest Is The Split Plot ANOVA
Skewed Variable of Interest
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Your StatsTest Is The Friedman Test
Proportional or Categorical Variable of Interest
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One Group Variable
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Two Options
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Less Than 10 In A Cell
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Your StatsTest Is The Exact Test Of Goodness Of Fit
More Than 10 In Every Cell
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Your StatsTest Is The One-Proportion Z-Test
More Than 10 In Every Cell (and more than 1000 in total)
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Your StatsTest Is The G-Test Of Goodness Of Fit
More Than Two Options
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Less Than 10 In A Cell
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Your StatsTest Is The Exact Test Of Goodness Of Fit (multinomial model)
More Than 10 In Every Cell
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Your StatsTest Is The Chi-Square Goodness Of Fit Test
More Than 10 In Every Cell (and more than 1000 in total)
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Your StatsTest Is The G-Test Of Goodness Of Fit
Two Group Variables
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Two Options
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Independent Samples
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(less than 10 in a cell) Your StatsTest Is The Fischer’s Exact Test
(more than 10 in every cell) Your StatsTest Is The Two-Proportion Z-Test
(more than 1000 in total) Your StatsTest Is The G-Test
Paired Samples (repeated measurements)
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Your StatsTest Is The McNemar Test
More Than Two Options
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Independent Samples
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(less than 10 in a cell) Your StatsTest Is The Fischer’s Exact Test
(more than 10 in every cell) Your StatsTest Is The Chi-Square Test Of Independence
(more than 1000 in total) Your StatsTest Is The G-Test
Paired Samples (repeated measurements)
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Your StatsTest Is The McNemar Test
Three (or more) Group Variables
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Your StatsTest Is The Log-Linear Analysis
Relationship or Prediction
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Relationship
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Two Continuous
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No Covariates
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Your StatsTest is Pearson Correlation
Covariates
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Your StatsTest is Partial Correlation
Two Categorical
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Two Values Per Variable
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Your StatsTest is the Phi Coefficient
More than Two Values
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Your Stats Test is Cramer’s V
One Continuous One Binary
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Your StatsTest is Point Biserial Correlation
At Least One Ordinal
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Your Stats Test is Kendall’s Tau or Spearman’s Rho
Prediction
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Continuous Dependent Variable
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One Independent Variable
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Your StatsTest is Simple Linear Regression
More Than One Independent Variable
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Repeated Measures
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Your StatsTest is the Mixed Effects Model
No Repeated Measures
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One Dependent Variable
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Your StatsTest is Multiple Linear Regression
Two or More Dependent Variables
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Your StatsTest is Multivariate Multiple Linear Regression
Binary Dependent Variable
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One Independent Variable
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Your StatsTest is Simple Logistic Regression
More than One Independent Variable
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Repeated Measures
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Your StatsTest is Mixed Effects Logistic Regression
No Repeated Measures
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Your StatsTest is Multiple Logistic Regression
Categorical Dependent Variable
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All Continuous
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Your StatsTest is Linear Discriminant Analysis
Not All Continuous
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Your StatsTest is Multinomial Logistic Regression
Ordered Categorical Dependent Variable
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Your StatsTest is Ordinal Logistic Regression
Statistical Tests
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Difference Continuous Methods
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Single Sample T-Test
Single Sample Z-Test
Single Sample Wilcoxon Signed-Rank Test
Independent Samples T-Test
Independent Samples Z-Test
Mann-Whitney U Test
Paired Samples T-Test
Paired Samples Z-Test
Wilcoxon Signed-Rank Test
One-Way ANOVA
Kruskal-Wallis One-Way ANOVA
One-Way Repeated Measures ANOVA
Friedman Test
Factorial ANOVA
Split Plot ANOVA
One-Way ANCOVA
Difference Proportion/Categorical Methods
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One-Proportion Z-Test
Two Proportion Z-Test
McNemar Test
Chi-Square Goodness of Fit Test
Chi-Square Test of Independence
Exact Test of Goodness of Fit
Exact Test of Goodness of Fit (multinomial model)
Fischer’s Exact Test
G-Test of Goodness of Fit
G-Test
Log-Linear Analysis
Prediction Methods
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Simple Linear Regression
Simple Logistic Regression
Multiple Linear Regression
Multiple Logistic Regression
Mixed Effects Model
Mixed Effects Logistic Regression
Multivariate Multiple Linear Regression
Multinomial Logistic Regression
Ordinal Logistic Regression
Linear Discriminant Analysis
Relationship Methods
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Pearson Correlation
Partial Correlation
Kendall’s Tau
Spearman’s Rho
Point-Biserial Correlation
Phi Coefficient
Cramer’s V
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