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The approach of controlling the error rate in an exploratory analysis where number of hypotheses are tested, but where the strict control which is provided by multiple comparison procedures controlling the family wise error rate is not needed.
Assume that the m hypotheses are to be tested, of which m0 relate to cases where the null hypothesis is true and the remaining m-m0 relate to the cases where alternative hypo- thesis is true. The FDR is defined as expected proportion of the incorrectly rejected null hypotheses. Explicitly FDR is given by the formula written below where V represents several true null hypotheses which are rejected and R is the total number of the rejected hypotheses. Procedures which exercise control over the FDR guarantee that the FDR < α, for some fixed value of α.
O'Brien's two-sample tests are the extensions of the conventional tests for assessing the differences between treatment groups which take account of the possible heterogeneous nat
The transformation of the Pearson's product moment correlation coefficient, r, can be given by The statistic z has the normal distribution with mean here ρ is the pop
Data theory is anxious with how observations are transformed into data which can be analyzed. Data are thus viewed as the theory laden in the sense that the observations can be giv
The probability distribution which is a linear function of the number of component probability distributions. This type of distributions is used to model the populations thought to
This is extension of the EM algorithm which typically converges more slowly than EM in terms of the iterations but can be much faster in the whole computer time. The general idea o
Non central distributions is the series of probability distributions each of which is the adaptation of one of the standard sampling distributions like the chi-squared distributio
Regression diagnostics is the process designed to investigate the suppositions underlying particular forms of regression examination, for instance, homogeneity of variance, norma
The Null Hypothesis - H0: There is no heteroscedasticity i.e. β 1 = 0 The Alternative Hypothesis - H1: There is heteroscedasticity i.e. β 1 0 Reject H0 if Q = ESS/2 >
Clinical trials : Medical experiments designed to assess which of two or more treatments is much more effective. It is based on one of the oldest philosophy of the scienti?c resear
Behrens Fisher problem : The difficulty of testing for the equality of the means of the two normal distributions which do not have the equal variance. Various test statistics have
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