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    Chi square test for association

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    Explanation and completion of 2.1, 2.2, & 2.3.

    PART 2: Problems

    Answer the questions in Part 2. Be sure to show every step of your work clearly and completely. Explain
    your conclusions in clear language for someone who is not statistically numerate.
    CASE # GNDR TRAK ADV LIKE STDY GPA HIGH SCHOOL SENIORS
    1 1 1 19 2 5.5 0.55
    2 1 1 17 4 5.8 0.63 GNDR = Gender
    3 0 1 16 8 3.3 0.67 F = 1
    4 0 1 17 6 4.7 0.71 M = 0
    5 1 2 14 6 4.2 0.72 TRAK = Course of Study
    6 1 1 15 8 6.7 0.76 1 = remedial
    7 1 3 11 7 3.8 0.75 2 = vocational
    8 0 2 20 7 3.5 0.79 3 = mainstream
    9 1 2 12 6 5.7 0.79 4 = college prep
    10 0 1 12 7 5.3 0.83 ADV = Home Advantage
    11 1 2 7 7 6.3 0.88 ranked index of
    12 0 2 7 8 5.1 0.91 resources
    13 0 3 7 4 4.4 0.90 for education
    14 1 3 6 5 5.6 0.92 LIKE = Attitude Toward Teachers
    15 1 3 4 4 6.1 0.95 1 = does not like teachers
    16 0 2 4 5 5.7 0.94 10 = likes teachers a lot
    17 0 3 7 5 5.1 0.96 STDY = Study time
    18 0 3 3 10 6.2 0.98 hours per week
    19 1 1 21 3 2.9 0.50 GPA = Average Grades
    20 1 4 21 8 4.5 0.50 as percentage
    21 0 4 2 10 4.1 0.99
    22 0 4 1 10 2.2 1.00
    2.1 Analyze the relation between GNDR and LIKE using Chi-square.

    A. Construct a 2x2 table for these data using "female" and "male' as the categories on GNDR, and "dislike" and "like" as the categories on LIKE (by collapsing 1-5 into "dislike" and 6-10 in "like"). Include the marginals in your table.

    B. Is there a statistically significant relation between gender and attitude toward teachers? Explain and justify your answer.

    C. Compute the column percents for the table in order to determine the pattern of this relation. Explain your analysis in natural language for a non-technical audience.

    2.2 Analyze the relation between TRAK and STDY.

    A. Construct a table for these data using the existing categories on TRAK, and collapsing the continuous values of STDY into four categories (<2.0, 2.0-3.9, 4.0-5.9, and >5.9). Include the marginals in your table.

    B. Calculate the percentages for the table so that they illustrate the effects of TRAK on STDY.

    C. Is there an association? What are the strength and direction of the relation?

    2.3 A. Calculate phi for the data in the table you constructed for 2.1.

    B. Calculate lambda for the data in the table you constructed for 2.1.

    C. Interpret phi and lambda. Explain how these statistics increase your understanding of these data.

    © BrainMass Inc. brainmass.com May 20, 2020, 8:07 pm ad1c9bdddf
    https://brainmass.com/statistics/chi-squared-test/chi-square-test-for-association-378469

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    Solution Summary

    The solution provides step by step method for the calculation of chi square test for association. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

    $2.19

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