Explore BrainMass
Share

Explore BrainMass

    ANOVA: Degrees of Freedom & Critical value

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    See attached file for clarity.

    Can you explain what are the degrees of freedom on this example . (Is it 87 or 89?) and how do I get critical value?

    One factor ANOVA

    Mean n Std. Dev
    5.9 30 1.90 Text message
    6.4 30 1.45 Internet
    5.2 30 1.58 E-mail
    5.8 90 1.71 Total

    ANOVA table
    Source SS df MS F p-value
    Treatment 23.09 2 11.544 4.22 .0178
    Error 238.07 87 2.736
    Total 261.16 89

    Post hoc analysis
    p-values for pairwise t-tests
    E-mail Text message Internet
    5.2 5.9 6.4
    E-mail 5.2
    Text message 5.9 .0895
    Internet 6.4 .0049 .2449

    Tukey simultaneous comparison t-values (d.f. = 87)
    E-mail Text message Internet
    5.2 5.9 6.4
    E-mail 5.2
    Text message 5.9 1.72
    Internet 6.4 2.89 1.17

    Critical values for experimentwise error rate:
    0.05 2.39
    0.01 3.00

    © BrainMass Inc. brainmass.com April 3, 2020, 9:24 pm ad1c9bdddf
    https://brainmass.com/statistics/analysis-of-variance/anova-degrees-of-freedom-critical-value-378399

    Attachments

    Solution Summary

    The solution provides step by step method for the calculation of degrees of freedom and critical value of One factor ANOVA. Formula for the calculation and Interpretations of the results are also included.

    $2.19

    ADVERTISEMENT