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Summation Formulas for Integers
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Classroom Contents
Nonparametric Theory
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- 1 Summation Formulas for Integers
- 2 Prove the Sign Test is a most powerful test
- 3 Derivatives of the inverse trigonometric functions
- 4 Probability of 1st Quadrant for a Standard Bivariate Normal Random Variable
- 5 Wilcoxon Signed Rank Distribution (Part 1)
- 6 Wilcoxon Signed Rank Distribution (Part 2)
- 7 Wilcoxon Signed Rank Test Statistic define as # of positive Walsh Averages
- 8 Mean and Variance of Wilcoxon Signed Rank Test Statistics
- 9 Interesting Formula for the Sample Variance. U Statistics
- 10 Variance of the sample variance
- 11 Projection method to show normality
- 12 Integrating an inverse cdf of a normal distribution. Normal Scores Statistic
- 13 Covariance of Empirical CDF
- 14 Probability Integral Transformation
- 15 Show that the Kolmogorov-Smirnov One Sample Test is Distribution Free
- 16 Correlation between variate values and corresponding ranks (part 1)
- 17 Correlation between variate values and corresponding ranks (part 2)
- 18 Correlation between variate values and corresponding ranks (part 3): Illustration Using R.
- 19 Probability of 4th Quadrant for a Standard Bivariate Normal Random Variable
- 20 The Univariate Sign Test
- 21 The Multivariate Sign Test
- 22 Probability of 1st Quadrant for a Scaled Bivariate Normal Random Variable
- 23 Using R: The Multivariate Sign Test
- 24 Power and Sample Size in R: Multivariate Sign Test
- 25 Spearman's Rank Correlation
- 26 Kendall's Tau Rank Correlation
- 27 Distribution of the Sample Median
- 28 CI for Population Median using Order Statistics
- 29 Distribution of the Sample Range
- 30 Discrete Order Statistics with Illustration using R
- 31 Integrating over a Rectangle in Polar Coordinates
