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Two-Way Tables Inference Calculation Guide

Learn how to perform chi-squared test for two-way tables using observed and expected values with detailed steps and examples for better understanding.

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Two-Way Tables Inference Calculation Guide

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  1. MATH 2311 Section 8.6

  2. Inference for Two-way Tables You will be provided a table of observed values. From this, you create a table to expected values : expected = (row total * column total)/ n Then create a third table of (observed – expected)^2/expected. The sum of all values in the third table will be your chi-squared test statistic. Degrees of freedom: [(# of rows)-1] * [(# of columns)-1]

  3. Example: Observed To create the value for Row1, Column1 in the expected table: Use Row 1 total, and the column 1 total in the observed table: To create the value for Row 2, Column 1 in the expected table: Use Row 2 total, and the column 1 total in the observed table:

  4. Workspace: Expected To calculate Row 1, Column 1 of Table 3, use the values in Row1, Column1 in the two previous tables. (obs – exp)^2/exp

  5. Popper 32 Select Choice B for questions 1 – 5.

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