6.5.1: Using Minitab

Analysis of Variance and Design of Experiments · LibreTexts

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    Minitab has a separate program just for this type of analysis for our example (Quality Data ), under:

    Stat > ANOVA > Fully Nested ANOVA

    and you specify the model in the boxes provided:

    Minitab pop-up window for Fully Nested ANOVA, with "Temp" in the Responses window and "Plant Operator Shift" in the Factors window.
    Figure \(\PageIndex{1}\): Fully Nested ANOVA pop-up window.

    The output you get is very comprehensive and includes the variance components expressed as percentages.

    Nested ANOVA: Temp versus Plant, Operator, Shift

    Analysis of Variance for Temp

    Source DF SS MS F P
    Plant 3 731.5156 243.8385 5.854 0.011
    Operator 12 499.8125 41.6510 1.303 0.248
    Shift 48 1534.9167 31.9774 2.578 0.000
    Error 128 1588.0000 12.4062    
    Total 191 4354.2448      

    Variance Components

    Source Var Comp. # of Total StDev
    Plant 4.212 17.59 2.052
    Operator 0.806 3.37 0.898
    Shift 6.524 27.24 2.554
    Error 12.406 51.80 3.522
    Total 23.948   4.894

    Expected Mean Squares

    1 Plant 1.00(4) + 3.00(3) + 12.00(2) + 48.00(1)
    2 Operator 1.00(4) + 3.00(3) + 12.00(2)
    3 Shift 1.00(4) + 3.00(3)
    4 Error 1.00(4)

    This page titled 6.5.1: Using Minitab was last modified on Mon, 02 Jan 2023 23:40:33 GMT and is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Penn State's Department of Statistics.