# Past Exam for STAT 515 - STATISTICAL METHODS I at South Carolina (SC)

## Exam Information

 Material Type: Exam Professor: Staff Class: STAT 515 - STATISTICAL METHODS I Subject: Statistics University: University of South Carolina - Columbia Term: Fall 2003 Keywords: HomogeneityProbabilitiesIndependenceUnfortunatelyExpected ValuesPopulationsAssumptionsObservationsClassificationContingency

## Sample Document Text

STAT 515 - Section 13.3 Supplement Brian Habing - University of South Carolina Last Updated: December 2, 2003 S13.3 - Chi-Square Test for Homogeneity Section 13.3 discusses the Chi-Square Test for Independence, where the n observations are a random sample from a single population of interest (note that the grand total n is fixed in Table 13.4a and that this is the first assumption in the box on page 719). The easiest way to check that you are performing a test of independence is that you know the grand total (n) in advance, and not the row totals (the r i ) or column totals (the c j ). From the work on page 716 we see that the expected value for cell ij is =)( ^ ij nEr i c j /n. We can also verify why the formula for the degrees of freedom is (r-1)(c-1). The basic formula for calculating the degrees of freedom is: # cells - # parameters estimated - # free cells. 1. The number of cells in the table is the number of rows times the number of columns, so rc...

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