Some Recent Results in Chi-square Goodness-of-fit Tests Some Recent Results in Chi-square Goodness-of-fit Tests Some Recent Results on Chi-square Goodness-of-fit Tests
نویسندگان
چکیده
The aim of this paper is to relate and extend some recent work on chi-square goodness-of-fit tests. There is no discussion of any problems which are specifically associated with more than one categorical variable.. The main topics are the effect of estimation on chi-square and its partitions ~~d their relation to Neymants smooth goodness-of-fit test, and the effect of grotp:ing a univariate distribution according to the disposition of the sample on the distribution of the chi-square statistic and on the smooth test statistic.
منابع مشابه
A Comparative Analysis of Some Chi-Square Goodness-of-Fit Tests for Censored Data
In this chapter, we consider some chi-square-type goodness-of-fit tests for right AQ1 censored samples, viz. the Nikulin–Rao–Robson (NRR) test and generalized Pearson–Fisher (GPF) test. We compare these tests in terms of power in the case of testing composite hypotheses by randomly censored and Type II censored samples. Various grouping methods are considered, including equifrequent grouping, g...
متن کاملComparison of the Goodness-of-Fit Tests: the Pearson Chi-square and Kolmogorov-Smirnov Tests
A test for goodness of fit usually involves examining a random sample from some unknown distribution in order to test the null hypothesis that the unknown distribution function is in fact a known, specified function. The Chi-square test can be applied to any univariate distribution for which you can calculate the cumulative distribution function. The Chi-square test does not have good propertie...
متن کاملSOME THEORY AND PRACTICE OF STATISTICS by Howard G. Tucker CHAPTER 10. NONPARAMETRIC STATISTICAL INFERENCE
10.1 The Chi-square Goodness of Fit Test. The general area of nonparametric statistical inference deals with statistical procedures such as hypothesis testing, point estimation and confidence intervals in problems where the parent distribution has no known functional form. For one reason or another, the chi-square goodness of fit test is considered to be in this area, and so we present it here....
متن کاملMeasures of Fit for Logistic Regression
One of the most common questions about logistic regression is “How do I know if my model fits the data?” There are many approaches to answering this question, but they generally fall into two categories: measures of predictive power (like R-square) and goodness of fit tests (like the Pearson chi-square). This presentation looks first at R-square measures, arguing that the optional R-squares rep...
متن کاملCOLLOQUIUM Department of Statistics and Probability Michigan State University
The basic message of this talk could have been delivered a long ago, may be even soon after the time of publication of classical papers of K. Pearson (1900) and R. A. Fisher (1922, 1924). However, the tradition of using the chi-square goodness of fit statistic became so widely spread, and the point of view that, for the case of discrete distributions, statistics “have to” have their asymptotic ...
متن کامل