Power Analysis
Overviews
General Purpose
Power Analysis and Sample Size Calculation in Experimental Design
Power Analysis and Sample Size Calculation in Experimental Design
Sampling Theory and Hypothesis Testing Logic
Calculating Power
Calculating Required Sample Size
Graphical Approaches to Power Analysis
Noncentrality Interval Estimation and the Evaluation of Statistical Models
Noncentrality Interval Estimation and the Evaluation of Statistical Models
Advantages of Interval Estimation
Inadequacies of the Hypothesis Testing Approach
Reasons Why Interval Estimates are Seldom Reported
Replacing Traditional Hypothesis Tests with Interval Estimates
Types of Power Analyses
Power Analysis and Interval Estimation (Startup Panel)
Quick Tab
Power Calculation
One Mean t-Test
1-Sample t-test: Power Calculation Parameters
1-Sample t-test: Power Calculation Parameters - Quick Tab
1-Sample t-test: Power Calculation Parameters - Settings I/O Tab
1-Sample t-test: Power Calculation Results
1-Sample t-test: Power Calculation Results - Quick Tab
Two Means, t-Test, Ind. Samples
Independent Sample t-test: Power Calculation Parameters
Independent Sample t-test: Power Calculation Parameters - Quick Tab
Independent Sample t-test: Power Calculation Parameters - Settings I/O Tab
Independent Sample t-test: Power Calculation Results
Independent Sample t-test: Sample Size Calculation Results
Two Means, t-Test Dep. Samples
Dependent Sample t-test: Power Calculation Parameters
Dependent Sample t-test: Power Calculation Parameters - Quick Tab
Dependent Sample t-test: Power Calculation Parameters - Settings I/O Tab
Dependent Sample t-test: Power Calculation Results
Dependent Sample t-test: Power Calculation Results - Quick Tab
Several Means, Planned Contrast
Planned Contrast: Power Calculation Parameters
Planned Contrast: Power Calculation Parameters - Quick Tab
Planned Contrast: Power Calculation Parameters - Settings I/O Tab
Planned Contrast: Power Calculation Results
Planned Contrast: Power Calculation Results - Quick Tab
Several Means, ANOVA, 1-Way
1-Way ANOVA: Power Calculation Parameters
1-Way ANOVA: Power Calculation Parameters - Quick Tab
1-Way ANOVA: Power Calculation Parameters - Settings I/O Tab
1-Way ANOVA: Power Calculation Results
1-Way ANOVA: Power Calculation Results - Quick Tab
Several Means, ANOVA, 2-Way
2-Way ANOVA: Power Calculation Parameters
2-Way ANOVA: Power Calculation Parameters - Quick Tab
2-Way ANOVA: Power Calculation Parameters - Settings I/O Tab
2-Way ANOVA: Power Calculation Results
2-Way ANOVA: Power Calculation Results - Quick Tab
One Variance, Chi-Square Test
One Variance: Power Calculation Parameters
One Variance: Power Calculation Parameters - Quick Tab
One Variance: Power Calculation Parameters - Settings I/O Tab
One Variance: Sample Size Calculation Results
One Variance: Power Calculation Results - Quick Tab
Two Variances, F-Test
Two Variances: Power Calculation Parameters
Two Variances: Power Calculation Parameters - Quick Tab
Two Variance: Power Calculation Parameters - Settings I/O Tab
Two Variances: Power Calculation Results
Two Variances: Power Calculation Results - Quick Tab
One Correlation, t-Test
t-Test for Zero Correlation: Power Calculation Parameters
t-Test for Zero Correlation: Power Calculation Parameters - Quick Tab
t-Test for Zero Correlation: Power Calculation Parameters - Settings I/O Tab
t-Test for Zero Correlation: Power Calculation Results
t-Test for Zero Correlation: Power Calculation Results - Quick Tab
Two Correlations, Z-Test
Two Correlations: Power Calculation Parameters
Two Correlations: Power Calculation Parameters - Quick Tab
Two Correlations: Power Calculation Parameters - Settings I/O Tab
Two Correlations: Power Calculation Results
Two Correlations: Power Calculation Results - Quick Tab
Squared Multiple Correlation
Multiple R�: Power Calculation Parameters
Multiple R�: Power Calculation Parameters - Quick Tab
Multiple R�: Power Calculation Parameters - Settings I/O Tab
Multiple R�: Power Calculation Results
Multiple R�: Power Calculation Results - Quick Tab
One Proportion, Z, Chi-Square Test
Single Proportion: Power Calculation Parameters
Single Proportion: Power Calculation Parameters - Quick Tab
Single Proportion: Power Calculation Parameters - Settings I/O Tab
Single Proportion: Power Calculation Results
Single Proportion: Power Calculation Results - Quick Tab
Two Proportions, Z-Test
Comparing 2 Proportions: Power Calculation Parameters
Comparing 2 Proportions: Power Calculation Parameters - Quick Tab
Comparing 2 Proportions: Power Calculation Parameters - Settings I/O Tab
Comparing 2 Proportions: Power Calculation Results
Comparing 2 Proportions: Power Calculation Results - Quick Tab
Two Proportions, Paired Sample
McNemar's Test: Power Calculation Parameters
McNemar's Test: Power Calculation Parameters - Quick Tab
McNemar's Test: Power Calculation Parameters - Settings I/O Tab
McNemar's Test: Power Calculation Results
McNemar's Test: Power Calculation Results - Quick Tab
Survival - Log-Rank Test
Log-Rank Test: Power Calculation Parameters
Log-Rank Test: Power Calculation Parameters - Quick Tab
Log-Rank Test: Power Calculation Parameters - Settings I/O Tab
Log-Rank Test: Power Calculation Results
Log-Rank Test: Power Calculation Results - Quick Tab
Survival - Exponential, Accrual
Survival, Exponential, Accrual: Power Calculation Parameters
Survival, Exponential, Accrual: Power Calculation Parameters - Quick Tab
Survival, Exponential, Accrual: Power Calculation Parameters - Settings I/O Tab
Survival, Exponential, Accrual: Power Calculation Results - Quick Tab
Survival, Exponential, Accrual: Power Calculation Results - Quick Tab
Survival - Exp., Accrual/Dropouts
Survival, Exponential, Accrual, Dropouts: Power Calculation Parameters
Survival, Exponential, Accrual, Dropouts: Power Calculation Parameters - Quick Tab
Survival, Exponential, Accrual, Dropouts: Power Calculation Parameters - Settings I/O Tab
Survival, Exponential, Accrual, Dropouts: Power Calculation Results
Survival, Exponential, Accrual, Dropouts: Power Calculation Results - Quick Tab
Structural Equation Modeling
Structural Equation Modeling: Power Calculation Parameters
Structural Equation Modeling: Power Calculation Parameters - Quick Tab
Structural Equation Modeling: Power Calculation Parameters - Settings I/O Tab
Structural Equation Modeling: Power Calculation Results
Structural Equation Modeling: Power Calculation Results - Quick Tab
Sample Size Calculation
One Mean t-Test
1-Sample t-test: Sample Size Parameters
1-Sample t-test: Sample Size Parameters - Quick Tab
1-Sample t-test: Sample Size Parameters - Settings I/O Tab
1-Sample t-test: Sample Size Calculation Results
1-Sample t-test: Sample Size Calculation Results - Quick Tab
Two Means, t-Test, Ind. Samples
Independent Sample t-test: Sample Size Parameters
Independent Sample t-test: Sample Size Parameters - Quick Tab
Independent Sample t-test: Sample Size Parameters - Settings I/O Tab
Independent Sample t-test: Sample Size Calculation Results
Independent Sample t-test: Sample Size Calculation Results - Quick Tab
Two Means, t-Test Dep. Samples
Dependent Sample t-test: Sample Size Parameters
Dependent Sample t-test: Sample Size Parameters - Quick Tab
Dependent Sample t-test: Sample Size Parameters - Settings I/O Tab
Dependent Sample t-test: Sample Size Calculation Results
Dependent Sample t-test: Sample Size Calculation Results - Quick Tab
Several Means, Planned Contrast
Planned Contrast: Sample Size Parameters
Planned Contrast: Sample Size Parameters - Quick Tab
Planned Contrast: Sample Size Parameters - Settings I/O Tab
Planned Contrast: Sample Size Calculation Results
Planned Contrast: Sample Size Calculation Results - Quick Tab
Several Means, ANOVA, 1-Way
1-Way ANOVA: Sample Size Parameters
1-Way ANOVA: Sample Size Parameters - Settings I/O Tab
1-Way ANOVA: Sample Size Calculation Results
1-Way ANOVA: Sample Size Calculation Results - Quick Tab
1-Way ANOVA: Sample Size Parameters - Quick Tab
1-Way ANOVA: Sample Size Parameters - Quick Tab
ANOVA Effects Calculation Dialog
Several Means, ANOVA, 2-Way
2-Way ANOVA: Sample Size Parameters
2-Way ANOVA: Sample Size Parameters - Settings I/O Tab
2-Way ANOVA: Sample Size Calculation Results
2-Way ANOVA: Sample Size Calculation Results - Quick Tab
2-Way ANOVA: Sample Size Parameters - Quick Tab
2-Way ANOVA: Sample Size Parameters - Quick Tab
2-Way ANOVA Effects Calculation Dialog
One Variance, Chi-Square Test
One Variance: Sample Size Parameters
One Variance: Sample Size Parameters - Quick Tab
One Variance: Sample Size Parameters - Settings I/O Tab
One Variance: Sample Size Calculation Results
One Variance: Sample Size Calculation Results - Quick Tab
Two Variances, F-Test
Two Variances: Sample Size Parameters
Two Variances: Sample Size Parameters - Quick Tab
Two Variance: Sample Size Parameters - Settings I/O Tab
Two Variances: Sample Size Calculation Results
Two Variances: Sample Size Calculation Results - Quick Tab
One Correlation, t-Test
t-Test for Zero Correlation: Sample Size Parameters
t-Test for Zero Correlation: Sample Size Parameters - Quick Tab
t-Test for Zero Correlation: Sample Size Parameters - Settings I/O Tab
t-Test for Zero Correlation: Sample Size Calculation Results
t-Test for Zero Correlation: Sample Size Calculation Results - Quick Tab
Two Correlations, Z-Test
Two Correlations: Sample Size Parameters
Two Correlations: Sample Size Parameters - Quick Tab
Two Correlations: Sample Size Parameters - Settings I/O Tab
Two Correlations: Sample Size Calculation Results - Quick Tab
Two Correlations: Sample Size Calculation Results - Quick Tab
Squared Multiple Correlation
Multiple R�: Sample Size Parameters
Multiple R�: Sample Size Parameters - Quick Tab
Multiple R�: Sample Size Parameters - Settings I/O Tab
Multiple R�: Sample Size Calculation Results
Multiple R�: Sample Size Calculation Results - Quick Tab
One Proportion, Z, Chi-Square Test
Single Proportion: Sample Size Parameters
Single Proportion: Sample Size Parameters - Quick Tab
Single Proportion: Sample Size Parameters - Settings I/O Tab
Single Proportion: Sample Size Calculation Results
Single Proportion: Sample Size Calculation Results - Quick Tab
Two Proportions, Z-Test
Comparing 2 Proportions: Sample Size Parameters
Comparing 2 Proportions: Sample Size Parameters - Quick Tab
Comparing 2 Proportions: Sample Size Parameters - Settings I/O Tab
Comparing 2 Proportions: Sample Size Calculation Results
Comparing 2 Proportions: Sample Size Calculation Results - Quick Tab
Two Proportions, Paired Sample
McNemar's Test: Sample Size Parameters
McNemar's Test: Sample Size Parameters - Quick Tab
McNemar's Test: Sample Size Parameters - Settings I/O Tab
McNemar's Test: Sample Size Calculation Results
McNemar's Test: Sample Size Parameters
Survival - Log-Rank Test
Log-Rank Test: Sample Size Parameters
Log-Rank Test: Sample Size Parameters - Quick Tab
Log-Rank Test: Sample Size Parameters - Settings I/O Tab
Log-Rank Test: Sample Size Calculation Results - Quick Tab
Log-Rank Test: Sample Size Calculation Results - Quick Tab
Survival - Exponential, Accrual
Survival, Exponential, Accrual: Sample Size Parameters
Survival, Exponential, Accrual: Sample Size Parameters - Quick Tab
Survival, Exponential, Accrual: Sample Size Parameters - Settings I/O Tab
Survival, Exponential, Accrual: Sample Size Calculation Results
Survival, Exponential, Accrual: Sample Size Calculation Results - Quick Tab
Survival - Exp., Accrual/Dropouts
Survival, Exponential, Accrual, Dropouts: Sample Size Parameters
Survival, Exponential, Accrual, Dropouts: Sample Size Parameters - Quick Tab
Survival, Exponential, Accrual, Dropouts: Sample Size Parameters - Settings I/O Tab
Survival, Exponential, Accrual, Dropouts: Sample Size Calculation Results
Survival, Exponential, Accrual, Dropouts: Sample Size Calculation Results - Quick Tab
Structural Equation Modeling
Structural Equation Modeling: Sample Size Parameters
Structural Equation Modeling: Sample Size Parameters - Quick Tab
Structural Equation Modeling: Sample Size Parameters - Settings I/O Tab
Structural Equation Modeling: Sample Size Calculation Results
Structural Equation Modeling: Sample Size Calculation Results - Quick Tab
Interval Estimation
One Mean t-Test
1-Sample t-test: Interval Estimation
Quick Tab
Settings I/O Tab
Two Means, t-Test, Ind. Samples
Independent Sample t-test: Interval Estimation
Quick Tab
Settings I/O Tab
Two Means, t-Test Dep. Samples
Dependent Sample t-test: Interval Estimation
Quick Tab
Settings I/O Tab
Several Means, Planned Contrast
Planned Contrast: Interval Estimation
Settings I/O Tab
Quick Tab
Quick Tab
Planned Contrast: Effects Calculation Dialog
Several Means, ANOVA, 1-Way
1-Way ANOVA: Interval Estimation
Quick Tab
Settings I/O Tab
Several Means, ANOVA, 2-Way
2-Way ANOVA: Interval Estimation
Quick Tab
Settings I/O Tab
One Correlation, t-Test
t-Test for Zero Correlation: Interval Estimation
Quick Tab
Settings I/O Tab
Squared Multiple Correlation
Multiple R�: Interval Estimation
Quick Tab
Settings I/O Tab
One Proportion, Z, Chi-Square Test
Single Proportion: Interval Estimation
Quick Tab
Settings I/O Tab
Structural Equation Modeling
Structural Equation Modeling: Interval Estimation
Quick Tab
Settings I/O Tab
Probability Distributions
Binomial Distribution
Binomial Distribution Probability Calculator
Quick Tab
Multiple R-Squared
Multiple R� Probability Calculator
Quick Tab
Noncentral Chi-Square
Noncentral Chi-square Probability Calculator
Quick Tab
Pearson Correlation
Pearson Correlation Probability Calculator
Quick Tab
Noncentral t
Noncentral t Probability Calculator
Quick Tab
Noncentral F
Noncentral F Probability Calculator
Quick Tab
Examples
Example 1: Power and Sample Size Calculation for the Independent Sample t-Test
Example 2: Analyzing Power, Sample Size, and Effect Size in 1-Way ANOVA
Example 3: Sample Size Calculation in Factor Analysis
Example 4: Power and Sample Size in Complex Factorial ANOVA
Example 5: Power Calculation in a 1-Way Repeated Measures ANOVA
Example 6: Hypotheses About the Noncentrality Parameter of the F Distribution
Example 7: Constructing a Confidence Interval on the Noncentrality Parameter
Example 8: Power of Nonstandard Significance Tests in the Analysis of Variance
Example 9: Exact Tests and Confidence Intervals for the Correlation Coefficient
Example 10: Confidence Intervals and Special Tests on the Multiple Correlation