The Mathematics of the Overlapping Chi-square Test1
نویسندگان
چکیده
One shortcoming of the Pearson chi-square test is that it only examines the distribution of experiment outcomes, but not their interdependence. For example, the test statistic is invariant against re-ordering the outcomes. To remedy the shortcoming, G. Marsaglia suggested combining consecutive outcomes to form tuples and then examining the distribution of the tuples. The statistic of the test is a quadratic form in the weak inverse of the covariance matrix of the counts of all tuples. As consecutive tuples overlap, we call this test the overlapping chi-square test. Compared with the conventional one, this test checks the interdependence as well as the distribution of experiment outcomes and is thus more comprehensive.
منابع مشابه
بررسی میزان همپوشانی دندانهای خلفی در دو تکنیک Improved interproximal panoramic program و Standard panoramic
Background and Aims: Overlapping of the proximal surfaces of posterior teeth in the panoramic radiography is a major concern. Therefore, an option has been developed in the panoramic unit of Planmeca Promax, namely improved interproximal mode. This mode causes lower horizental angle with the teeth contact region during the unit rotation decreasing overlapping of the panoramic images of the post...
متن کاملTowards a Contrastive Pragmatic Analysis of Congratulation Speech Act in Persian and English
This paper aims at studying the speech act of congratulation in Persian and English with regard to semantic formulas. To gather the semantic formulas related to congratulation, the researchers chose 100 movies (50 in Persian and 50 in English) as the instrument of the study. The only model of cross-cultural comparison was related to that of Elwood (2004). Therefore, we used Elwood’s model as th...
متن کاملThe bivariate noncentral chi-square distribution - A compound distribution approach
This paper proposes the bivariate noncentral chi-square (BNC) distribution by compounding the Poisson probabilities with the bivariate central chi-square distribution. The probability density and cumulative distribution functions of the joint distribution of the two noncentral chi-square variables are derived for arbitrary values of the correlation coefficient, degrees of freedom(s), and noncen...
متن کاملOn the multi _ chi-square tests and their data complexity
Chi-square tests are generally used for distinguishing purposes; however when they are combined to simultaneously test several independent variables, extra notation is required. In this study, the chi-square statistics in some previous works is revealed to be computed half of its real value. Therefore, the notion of Multi _ Chi-square tests is formulated to avoid possible future confusions. In ...
متن کاملEffect of parental morphine addiction on extracellular glutamate concentration of dentate gyrus in rat offsprings
Introduction: Evidences show that parental morphine addiction impairs CNS development, learning and memory in offsprings. Regarding the role of glutamate in dentate gyrus on learning and memory, in this study the effect of parental morphine addiction on extracellular glutamate concentration of dentate gyrus was assessed. Materials and methods: In this study 20 female and 8 male rats were addic...
متن کامل