Chapter 8 nonparametric test

1. Chapter 8 nonparametric test

2. parameter test t test and F test nonparametric test • The population distribution does not need strict supposition.

3. range： Measurement data： 1. The small sample data of non-normal distribution and homogeneity of variance ; 2. The small sample data of distribution unknown； 3. The data of unknown values in one or two ends （example ＜0.5、＞5.0 et al）； Rank data

4. Section 1 Wilcoxon signed-rank test

5. example 8-1 12 blood serum were measure ALT by A and B method (Table 8-1(2)、(3))is there difference between two groups of measure value ?

7. Steps 1. State hypothesis and significant level 2. Calculate T

8. 3. P value and make decision When n≤50，check T value table

9. If n＞50，beyond the rang of value table，the method of normal approximately can be used.

10. 2．Comparing between Median of one sample and population median objective is deduce weather the difference exist between Median of one sample and population median or not.

11. example 8-2 the median of urine fluorin content of normal man is 45.30 。12 worker were randomly sampled in a certain factory, and measure their urine fluorin content table 8-2 row（1）is the urine fluorin content of the worker in the factor higher than that of normal man ?

14. steps According to8-2（3）、（4），T=1.5。

15. Section 2 Wilcoxon rank sum test

16. Example 8-3 table 8-5 showed the RD of 10 patients of lung cancer and 12 patients of 0 stage silicosis (cm). The RDs of patients of lung cancer are higher than that of patients of 0 stage silicosis?

17. Table 8-5 the RD of two study group

18. steps Calculate T：

19. P value and make decision ： • When and ，check value table（appendix 10，P535）。In this example, , ， ， . At the level of ,reject ，accept ，the RD of lung cancer patients is higher than that of 0 stage of sillisis patients.

21. 2．frequency data and ranked data Example 8-4 table 8-6 showed the HbCO(%) of 39 smoking worker and 40 non-smoke worker . Are the HbCO(%) of the smoking worker higher than non-smoke worker?

22. table 8-6 HbCO (%) of smoking and non-smoking worker

23. 2.calculate T value

24. 3.Clculate u value

25. Section 3 Kruskal-Wallis Htest

26. Example 8-5 table 8-9 showed the death number of snail after dealing by 3 kinds of medicine. Are there difference among effects of 3 medicines?

27. Table 8-9 the death rate of snail after giving 3 medicines

28. Calculate H value

31. 2．frequency table data and ranked data

32. Table 8-11 the results of 4 groups

33. steps

35. 二、Nemenyi test for comparing between two groups

36. example 8-8 according to example 8-6 data ,compare any two groups of 3 study groups, respectively.

39. Section 4 Friedman Mtest

41. example 8-9 table 8-12 showed the result that 8 objects accept 4 kinds of different frequency voice. Are the reactions of 4 groups same?

42. Table 8-12 the rates of 8objects accepting 4 kinds of voices（%）

44. Calculate test statistic M value： ①rank the number from small to large in every block, and the same value take the average rank. ②calculate the sum of rank ③calculate M value.

46. Example 8-9，n=8，g=4，M=199.5，

47. 二、comparing among multipul correlation samples

48. example 8-10 according to example8-9 data（table 8-12）, compare any two groups , respectively

50. According table 8-12：n=8, g=4