251-2conts 7/25/06
Roger Even Bove
SUPPLEMENTARY MATERIALS AND TABLES FOR ECO251 & 252
Fall 2006
Please bring this material and your text to classes and exams!
CONTENTS
pg. 1
Article
Confidence Limits and Hypothesis testing for Variances
pg. 6
Table 1
Chi-Square Distribution
pg. 7
Table 2
F Distribution
pg. 17
Table 3
Formulas for Confidence Intervals and Hypothesis Tests
pg. 19
Table 4
Critical Values of r in the Runs Test
pg. 20
Table 5
Simplified Wilcoxon Rank Sum Test for Two Independent Samples
pg. 22
Table 6
Critical Values of the Wilcoxon Rank Sum Test for Two Independent Samples
pg. 23
Table 7
Critical Values for the Wilcoxon Signed Rank Sum Test for two Matched
Samples
pg. 24
Table 8
Table of p-values Associated with Values of  F2 in the Friedman Two-Way
Analysis of Variance by Ranks
pg. 25
Table 9
Table of p-values for the Kruskal-Wallis Test Statistic for Three Samples for OneWay Analysis of Variance by Ranks
pg. 27
Table 10
Critical Values of for the Kolmogorov-Smirnov One-Sample Test for
Goodness of Fit
pg. 27
Table 11
Critical Values for the Lilliefors Test for Normality
pg. 28
Table 12
Critical Values of s in the Kendall Test For Concordance
pg. 28
Table 13
Critical Values of the Spearman Rank Correlation Coefficient
pg. 29
Table 14
Poisson Distribution
pg. 39
Table 15
Cumulative Binomial Distribution
pg. 47
Table 16
Confidence Intervals for Binomial Sampling
pg. 48
Table 17
Standard Normal Distribution
pg. 49
Table 18
Values of the t Distribution
pg. 51
Table 19
What Method Should I Use?
pg. 52
Table 20
Formulas for Descriptive Statistics
pg. 54
Table 21
Critical Values of the Studentized Range Statistic q
(i)
251-2conts 7/25/06
CONTENTS (ctd.)
pg. 58
Article
Formulas For Functions of Random Variables
pg. 68
ECO 251 Problems
pg. 78
ECO 252 Problems
pg. 86
ECO 251 - Things That You Should Never Do on a Statistics Exam (or
Anywhere Else)
pg. 87
ECO 252 - Things That You Should Never Do on a Statistics Exam (or
Anywhere Else)
REFERENCES
William H. Beyer, ed., CRC Standard Probability and Statistics Tables and Formulae, CRC Press,
1991.
David J. Sheskin, Handbook of Parametric and Nonparametric Statistical Procedures, CRC Press,
1997.
Sidney Siegel, Nonparametric Statistics: for the Behavioral Sciences, McGraw - Hill, 1956.
(ii)