Introduction to Probability and Statistics for Engineers and Scientists
484 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis to the problem of testing that sample data come from a specif ...
11.2Goodness of Fit Tests When All Parameters are Specified 485 becoming exact asnapproaches infinity) a chi-square distribution ...
486 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis see that T= (X 1 −np 1 )^2 np 1 + (X 2 −np 2 )^2 np 2 = (X 1 ...
11.2Goodness of Fit Tests When All Parameters are Specified 487 TABLE 11.1 Number of Deaths Before, During, and After the Birth ...
488 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis Sincenpi=1, 251/12=104. 25, the chi-square test statistic for ...
11.2Goodness of Fit Tests When All Parameters are Specified 489 The test statistic for testingH 0 =pi=1/4,i=1, 2, 3, 4 is T= (27 ...
490 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis 11.2.1 Determining the Critical Region by Simulation From 190 ...
11.2Goodness of Fit Tests When All Parameters are Specified 491 REMARKS (a)To utilize the foregoing simulation approach to deter ...
492 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis eachnpi≥1 and at least 80 percent of thenpiexceed 5 — does no ...
11.3Goodness of Fit Tests When Some Parameters are Unspecified 493 Since the number of the 10^4 simulated values that exceed 7.4 ...
494 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis compute the test statistic T= ∑k i= 1 (Xi−nˆpi)^2 npˆi whereX ...
11.4Tests of Independence in Contingency Tables 495 we obtain, after some computation, that with the five regions as given in th ...
496 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis The different members of the population will be assumed to be ...
11.4Tests of Independence in Contingency Tables 497 denote the number of sampled members havingY-characteristicj, the estimator ...
498 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis as Republicans, and 32 women who classified themselves as Ind ...
11.5Tests of Independence in Contingency Tables Having Fixed Marginal Totals 499 call for rejecting the hypothesis of independen ...
500 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis The Test Statistic for Independence in a Contingency Table St ...
11.5Tests of Independence in Contingency Tables Having Fixed Marginal Totals 501 and ˆeij=npˆiqˆj= NiMj n wherenis the total siz ...
502 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis Therefore, the value of the test statistic is TS= (62−25.33)^ ...
11.5Tests of Independence in Contingency Tables Having Fixed Marginal Totals 503 Population Value 1 2 .. i. m Totals 1 N1,1 N2,1 ...
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