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# Mba Student

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* The chi-square distribution arises in tests of hypotheses concerning the independence of two random variables and concerning whether a discrete random variable follows a specified distribution. * all the chi-square distributions form a family, and each of its members is also specified by a DF parameter. * ezay ne7seb el gegree of freedom? : Factor 1 has 2 levels + factor 2 has 3 levels (2 – 1) x (3 – 1) = 2 df * CHI-SQUARE is a greek letter denoted by X – square denoted by x2. * X2 is always right tailed. * CHI-SQUARE RANDOM VARIABLE is a random variable that assumes only positive values and follows a chi-square distribution. * critical value screenshot * we will investigate hypotheses that have to do with whether or not two random variables take their values independently, or whether the value of one has a relation to the value of the other. Thus the hypotheses will be expressed in words, not mathematical symbols. * One of the factors related to one variable has more than one level (2 levels) .. such as: testing the idependency of relationship between heart rates and baby gender, because the other factor , which is babay gender, has 2 levels!! “ male – female”. * E : expected number of observations
Screenshot contingency table

* squares of the difference of the numbers in each core cell: A measure of how much the data deviate from what we would expect to see if the factors really were independent * We would reject the null hypothesis that the factors are independent only if this number is large, so the test is right-tailed * If we failed to reject Ho, and the 10% level of significance, for example, are not met, then we don’t have enough evidence to prove our hypothesis, so we don’t reject the Ho. * Hangeeb magmoo3 el e7tmalat “probabilities (o-e)2/e + (o-e)2/e + … = .. “ wngeeb el value bta3et DF aw el level of significance aw el sigma, wenqaren . law magmoo3 el e7tmalat bta3et el observations bta3tna akbar mn el level of significance, yob2a Reject Ho – law el sigma akbar mn magmoo3 e7malatna – yeb2a we fail to reject el Ho. * 3rd screenshot.

* Bytest eza kan two variables take their values independently walla feeh 3elaqa benhom??? Welhypothesis lazem tekon bel kalam mosh bel awrqaam!!! La2en el chi – square bytest el 3elaqa mabeen mota3’ayereen mostaqelleeeen!! * Mosh hatefre2 eza kano continuous walla categorical!!! *

* The F-distribution arises in tests of hypotheses concerning whether or not two population variances are equal and concerning whether or not three or more population means are equal.

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