

In a bootstrap situation, this means that s 1, s 2. Suppose a vector, s, contains random values from the null distribution. Modern Data Analysis for the Practicing Statistician." The empirical p-value is computed on page 14. You can find a fully-worked example of a bootstrap computation for a paired t test on pages 11–14 of my SAS Global Forum paper, " Rediscovering SAS/IML Software: You assume that the vector contains random values sampled from the null distribution. An equivalent formulation (for a one-sided p-value) is "How do I count the number of values in a vector that are greater than a given value?" For p-values, The answer to this question doesn't require knowing anything about bootstrap methods. Suppose I have test statistic for which I want a p-value. I am using bootstrap simulations to compute critical values for a statistical test.

11.5 - Alternative: Standardize the Variables.11.4 - Interpretation of the Principal Components.11.2 - How do we find the coefficients?.11.1 - Principal Component Analysis (PCA) Procedure.Lesson 11: Principal Components Analysis (PCA).10.5 - Estimating Misclassification Probabilities.10.1 - Bayes Rule and Classification Problem.9.6 - Step 3: Test for the main effects of treatments.9.5 - Step 2: Test for treatment by time interactions.9.3 - Some Criticisms about the Split-ANOVA Approach.8.10 - Two-way MANOVA Additive Model and Assumptions.8.9 - Randomized Block Design: Two-way MANOVA.8.7 - Constructing Orthogonal Contrasts.8.4 - Example: Pottery Data - Checking Model Assumptions.8.2 - The Multivariate Approach: One-way Multivariate Analysis of Variance (One-way MANOVA).8.1 - The Univariate Approach: Analysis of Variance (ANOVA).Lesson 8: Multivariate Analysis of Variance (MANOVA).7.2.8 - Simultaneous (1 - α) x 100% Confidence Intervals.7.2.7 - Testing for Equality of Mean Vectors when \(Σ_1 ≠ Σ_2\).7.2.6 - Model Assumptions and Diagnostics Assumptions.7.2.4 - Bonferroni Corrected (1 - α) x 100% Confidence Intervals.7.2.2 - Upon Which Variable do the Swiss Bank Notes Differ? - Two Sample Mean Problem.7.2.1 - Profile Analysis for One Sample Hotelling's T-Square.7.1.15 - The Two-Sample Hotelling's T-Square Test Statistic.7.1.12 - Two-Sample Hotelling's T-Square.7.1.11 - Question 2: Matching Perceptions.7.1.8 - Multivariate Paired Hotelling's T-Square.

7.1.7 - Question 1: The Univariate Case.7.1.4 - Example: Women’s Survey Data and Associated Confidence Intervals.7.1.1 - An Application of One-Sample Hotelling’s T-Square.Lesson 7: Inferences Regarding Multivariate Population Mean.6.2 - Example: Wechsler Adult Intelligence Scale.Lesson 6: Multivariate Conditional Distribution and Partial Correlation.5.2 - Interval Estimate of Population Mean.5.1 - Distribution of Sample Mean Vector.Lesson 5: Sample Mean Vector and Sample Correlation and Related Inference Problems.4.7 - Example: Wechsler Adult Intelligence Scale.4.6 - Geometry of the Multivariate Normal Distribution.4.4 - Multivariate Normality and Outliers.4.3 - Exponent of Multivariate Normal Distribution.Lesson 4: Multivariate Normal Distribution.Lesson 3: Graphical Display of Multivariate Data.Lesson 2: Linear Combinations of Random Variables.1.5 - Additional Measures of Dispersion.

