Table for Both the Sign Test and Distribution-Free Confidence Intervals of the Median for Sample Sizes to 1,000

Abstract

Abstract In 1946 Dixon and Mood published a table of critical values for the sign test with the sample size n, the sum of the two binomial numbers, in the stub and running consecutively from 1 to 100. In 1959 the present writer also published a sign-test table, replacing n by d, the difference between the two binomial numbers, and extending the range of sample sizes to 1,000. However, this second table introduced complicated rules of use and did not facilitate determination of confidence intervals of the median. The present paper presents a new table using n in the stub and covering all samples sizes to 1,000. Derived from the table using d, it easily serves for both the sign test and distribution-free interval estimation of the median. An appendix demonstrates the orderly transformation relations by which a table of one type can generate a table of the other.