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    Single Classification Analysis of Variance (ANOVA)

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    Jun Dl Crz
    This document presents the results of two single-classification ANOVA analyses. The first analyzes test scores of 18 high school teachers who underwent three different training methods. It finds no significant difference between the training groups. The second analyzes test scores of 5 groups of junior high teachers who underwent five different training methods. It will determine if there is a significant difference between the training groups' achievement.

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    Single Classification Analysis of Variance (ANOVA)

    Uploaded by

    Jun Dl Crz
    94 views2 pages
    This document presents the results of two single-classification ANOVA analyses. The first analyzes test scores of 18 high school teachers who underwent three different training methods. It finds no significant difference between the training groups. The second analyzes test scores of 5 groups of junior high teachers who underwent five different training methods. It will determine if there is a significant difference between the training groups' achievement.

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    ANALYSIS OF VARIANCE

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    This document presents the results of two single-classification ANOVA analyses. The first analyzes test scores of 18 high school teachers who underwent three different training methods. It finds no significant difference between the training groups. The second analyzes test scores of 5 groups of junior high teachers who underwent five different training methods. It will determine if there is a significant difference between the training groups' achievement.

    Copyright:

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

    Single Classification Analysis of Variance (ANOVA)

    Uploaded by

    Jun Dl Crz
    This document presents the results of two single-classification ANOVA analyses. The first analyzes test scores of 18 high school teachers who underwent three different training methods. It finds no significant difference between the training groups. The second analyzes test scores of 5 groups of junior high teachers who underwent five different training methods. It will determine if there is a significant difference between the training groups' achievement.

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
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    of 2

    ANALYSIS OF VARIANCE

    Single Classification Analysis of Variance (ANOVA)


    Problem:

    Eighteen (18) senior high school teachers who were randomly chosen underwent training under the
    three types of training methods once a month for 9 months. After the training, they were given a test of
    100 items. The test results were analyzed to find out whether significant differences existed or not in the
    achievement of the subject-cases trained under the three types of training methods . The data are as
    follows:
    Grp. A Grp, B Grp. C
    X X2 X X2 X X2
    70 4900 64 4096 78 6084
    74 5476 60 3600 72 5184
    60 3600 54 4624 54 2916
    80 6400 72 5184 58 3364
    84 7056 60 3600 69 4761
    78 6084 64 4096 74 5476
    Total 446 33516 388 25200 405 27785
    Mean 74.33 64.67 67.50
    Overall Mean
    68.83
    Summation of X
    1239
    Summation of X squared
    86501

    Step No. 1 . Compute for the Total Sum of Squares (Please refer to the pictured computation sent to the
    GC (The computed Total Sum of Squares is 1216.50

    Step No. 2 Compute for the Between Sum of Square (Refer to the pictured computation sent to the GC.
    The computed Between Sum of Squares is 296.34

    Step No. 3. Compute for the “Within Sum of Squares” ((Refer to the pictured computation sent to the GC.
    The computed “Within Sum of Squares” of:
    Group A = 363.33
    Group B = 109.33
    Group C = 497.50
    Total Sum of Squares of the three Groups = 920.16
    Step No. 4 Sum of Squares of the three groups of 920.16 plus Between sum of Squares of 296.34
    equals the Total Sum of Squares of 1216.50

    Table 1
    Difference in the Achievement of the Senior High School Teachers
    Under the Three Types of Training Methods Based on
    their Achievement Test Results

    Source of Df Sum of Squares Mean Square Computed f


    Variation value
    Between Groups 2 296.34 148.17
    Within Groups 15 920.16 61.34 2.42
    TOTAL 17 1216.50
    Tabled f value at df; 2, 15, = 3.68
    Interpretation No significant difference
    Decision : Accept the null-hypothesis

    Single Classification Analysis of Variance (ANOVA)

    Five groups of junior high school teachers were randomly chosen and required to undergo
    training under the five types of training methods once a month for 9 months. After their training,
    the teachers were given a 30-item test . The test results are as follows:
    Group A Group B Group C Group D Group E
    X X X X X X X X X X
    square Square squared squared squared
    d d
    19 361 28 676 13 169 26 676 11 121
    27 729 21 441 19 361 25 625 18 324
    28 784 19 361 22 484 22 484 24 576
    22 484 22 484 10 100 11 121 15 225
    Summation
    of X 96 88 64 84 68
    Summation
    of Xsquared 2258 1962 1114 1906 1248
    Mean 24 22 16 21 17

    Questions:
    1. Is there a significant difference between and among the achievement of the five groups of
    teachers trained under the different types of training methods?
    2. Based on the finding, what conclusions can be drawn?
    Procedure:
    Step No. 1. Compute for the Total Sum of Squares (Refer to the Computation sent to the GC)
    Total sum of squares = 586
    Step No.2. Compute for the “Between Sum of Squares”. (Refer to the computation sent to the
    GC)
    Between Sum of Squares = 184
    Step No. 3 Compute for the “Within Sum of Squares” (Refer to the computation sent to the GC)
    Within Sum of Squares = 402

    Table 1
    Difference in the Achievement of the Junior High School Teachers
    Trained Under the Different Types of Training Methods

    Source of Df Sum of Squares Mean Square Computed f

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