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    ANOVA of Unequal Sample Sizes - Assessment

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    yzabelle marie mendoza
    A researcher needs to use ANOVA to determine if there are significant differences among ratings of social life in three dormitories. Random samples of students from each dorm rated social life on a scale of 1 to 10. ANOVA analysis yielded an F-value of 12.3, which is greater than the critical value of 3.68 for the degrees of freedom. This indicates there are significant differences among the dormitory ratings.

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    ANOVA of Unequal Sample Sizes - Assessment

    Uploaded by

    yzabelle marie mendoza
    14 views2 pages
    A researcher needs to use ANOVA to determine if there are significant differences among ratings of social life in three dormitories. Random samples of students from each dorm rated social life on a scale of 1 to 10. ANOVA analysis yielded an F-value of 12.3, which is greater than the critical value of 3.68 for the degrees of freedom. This indicates there are significant differences among the dormitory ratings.

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    ANOVA of Unequal Sample Sizes_Assessment

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    A researcher needs to use ANOVA to determine if there are significant differences among ratings of social life in three dormitories. Random samples of students from each dorm rated social life on a scale of 1 to 10. ANOVA analysis yielded an F-value of 12.3, which is greater than the critical value of 3.68 for the degrees of freedom. This indicates there are significant differences among the dormitory ratings.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    14 views2 pages

    ANOVA of Unequal Sample Sizes - Assessment

    Uploaded by

    yzabelle marie mendoza
    A researcher needs to use ANOVA to determine if there are significant differences among ratings of social life in three dormitories. Random samples of students from each dorm rated social life on a scale of 1 to 10. ANOVA analysis yielded an F-value of 12.3, which is greater than the critical value of 3.68 for the degrees of freedom. This indicates there are significant differences among the dormitory ratings.

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    © All Rights Reserved
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    of 2

    Answer the problem below.

    A researcher need to determine if there is a significant difference among three groups,


    he/she should use __________.

    Random samples of seven students from each of three dormitories were asked to rate on a
    scale of 1 (Poor) to 10 (Excellent) quality of the social life in their own dormitory. The ratings are
    shown in the table. Use 0.05 level of significance.

    Dormitory A Dormitory B Dormitory C

    8 7 6
    7 9 5
    9 9 7
    9 10 5
    4 10 3
    10 2
    9

    Complete the table below to sole for the F-value. Interpret the results.

    Dormitory A Dormitory B Dormitory C A2 B2 C2


    8 7 6 64 49 36
    7 9 5 49 81 25
    9 9 7 81 81 49
    9 10 5 81 100 25
    4 10 3 16 100 9
    10 2 100 4
    9 81
    TOTAL 56 45 28 472 411 148

    Ho: µ1=µ2=µ3 = µn

    Ha:µ1 ≠ µ2≠ µ3≠ µn

    Sum of df Mean F-value Tabular Decision


    Squares Square Value
    Treatment/Betwee SSB= 66.3 2 33.2 c-1=2
    n
    Error/Within SSW= 15 2.7 12.3 3.68 n-c = 15
    40.2
    Total SST= 17 TV = 3.68
    106.5

    Interpretation:
    Accept Ho, reject Ha

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