Luis A. Afonso
Posts:
4,518
From:
LIsbon (Portugal)
Registered:
2/16/05


Re: Intrapermutations to test two different mean values
Posted:
Feb 3, 2013 6:50 PM


Followup: A case study
Data is that presented at my Feb. 27, 2005 8:16 AM concerning skull´s length of extinct jackals by sex. Manly. B. F. J. (1991) Monte Carlo Methods in Biology. Chapman & all. Males: 120, 107, 110, 116, 114, 111, 113, 117, 114, 112. Females: 110, 111, 107, 108, 110, 105, 107, 106, 111, 111. _X___mean= 113.4 mm, sd= 3.718 _Y_________108.6 , 2.271 _obsv. diff= 4.8___ Normal Model, T= 3.484164, pvalue= .0013. Note that because the 5% significance level, 2 tails critical value (18df) is 2.1009 we conclude that [5.275, 8.325] contains the observed difference of Population means with 95% confidence. A Fisher´s Permutation (alpha=5% , 1% approx.) ___[3.4 (.026), 3.4 (.981)]  > 4.8 outside ___[4.2 (.007), 4.2 (.996)] B IntraPermutation ___[3.4 (.030), 6.2 (.979)]  > 4.8 inside, interval centre. ___[3.1 (.007), 6.5 (.996)] The main fact to retain from these calculations is that one can safely disregard the normal model and use permutation methods even that there are sufficient evidence of no homogeneity in variances regarding the Populations. Note ___The Fisher´s Permutation test is used when we intend to find if the null hypotheses is valid (equal variances), on contrary the IntraPermutation is designed to find out confidence intervals concerning differences of Population means, I guess . . .
Luis A. Afonso

