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Compose a Word document that answers the following questions: What is the Chi-Sq

ID: 3130217 • Letter: C

Question

Compose a Word document that answers the following questions: What is the Chi-Square Test? The Chi-Square Test examines the ( ) which essentially states that the difference between the observed and the expected result is not significant. Geneticist Gregor Mendel used pea plants to study genetics. If there were two categories for pea color, yellow and green, what is the degree of freedom? Which measurement of agreement would a scientist use to determine the nature of a tumor when 3 different methodologies were used for its identification? How would you define the log linear model?

Explanation / Answer

A chi-squared test, mathematically denoted by test (or chi-square test), is any statistical hypothesis test in which the sampling distribution of the test statistic is a chi-square distribution when the null hypothesis is true. Test statistics that follow a chi-squared distribution also follow the assumption of independent normally distributed data. A chi-squared test is used to reject the hypothesis which states the data are independent.

The chi squared test examines the null hypothesis which essentially states that the difference between the observed and the expected result is not significant.

Since there are two categories the degrees of freedom will be 2-1=1

When we dealt with inter-relationships among several categorical variables, our focus had been on describing independence, interactions or associations between two, three or more categorical variables mostly via

Log-linear models are above single summary statistics and specify how the cell counts depend on the levels of categorical variables. Log linear model determines the association and interaction patterns among categorical variables. The log-linear modeling is natural for Poisson, Multinomial and Product-Mutlinomial sampling.

The above distributions are appropriate when there is no clear distinction between response and explanatory variables, or there are more than two responses.

By default log-linear models assume discrete variables to be nominal, but these models can be adjusted to deal with ordinal and matched data.

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