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Ch. 15: The Analysis of Frequency Tables

Ch. 15: The Analysis of Frequency Tables. Chi-Square. Assesses the discrepancy between the expected frequency and the observed frequency. A focused test when df = 1. Computing Chi-Square. where fo is the observed frequency in each cell. and f e is the expected frequency in each cell.

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Ch. 15: The Analysis of Frequency Tables

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  1. Ch. 15: The Analysis of Frequency Tables

  2. Chi-Square • Assesses the discrepancy between the expected frequency and the observed frequency. • A focused test when df = 1.

  3. Computing Chi-Square • where fo is the observed frequency in each cell. • and feis the expected frequency in each cell.

  4. Calculating the Expected Frequency

  5. Alternative Chi-Square Formula for 2 X 2 Tables

  6. Finding the p Value df = (rows – 1)(columns – 1)

  7. Options for Calculating the Effects Size for a 2 X 2 Table

  8. Procedures for Interpreting Large Table of Counts • Examine individual cells, looking for “unexpected” frequencies. • Partition the tables and compute additional chi-squares. • Standardize the margins. • Set the row totals equal to each other and • Set the column totals equal to each other.

  9. Standardizing the Margins: Corrected for Unequal Column Margins

  10. Standardizing the Margins: Corrected for Unequal Row Margins

  11. Standardizing the Margins: Final Corrected Results

  12. Final Results Shown as Deviations from Expected Value of .500

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