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    ANOVA -volatility for sector stocks over a period of time

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    Samples are shown of volatility (coefficient of variation) for sector stocks over a certain period of time.

    (a) At α = .05, is there a difference in median volatility in these four portfolios? Use Mega-Stat, MINITAB, or a similar computer package for the calculations.

    (b) Use one-factor ANOVA to compare the means. Do you reach the same conclusion?

    (c) Make a histogram or other display of each sample. Would you be willing to assume normality?

    Health Energy Retail Leisure
    14.5 23.0 19.4 17.6
    18.4 19.9 20.7 18.1
    13.7 24.5 18.5 16.1
    16.9 24.2 15.5 23.2
    16.2 19.4 17.7 17.6
    21.6 22.1 21.4 25.5
    25.6 31.6 26.5 24.1
    21.4 22.4 21.5 25.9
    26.6 31.3 22.8 25.5
    19.0 32.5 27.4 26.3
    12.6 12.8 22.0 12.9
    13.5 14.4 17.1 11.1
    13.5 24.8 4.9
    13.0 13.4
    13.6

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    https://brainmass.com/statistics/analysis-of-variance/anova-volatility-sector-stocks-period-time-292945

    Solution Preview

    question
    Samples are shown of volatility (coefficient of variation) for sector stocks over a certain period of time. (a) At α = .05, is there a difference in median volatility in these four portfolios? Use Mega- Stat, MINITAB, or a similar computer package for the calculations. (b) Use one-factor ANOVA to compare the means. Do you reach the same conclusion? (c) Make a histogram or other display of each sample. Would you be willing to assume normality?

    Health Energy Retail Leisure
    14.5 23.0 19.4 17.6
    18.4 19.9 20.7 18.1
    13.7 24.5 18.5 16.1
    16.9 24.2 15.5 23.2
    16.2 19.4 17.7 17.6
    21.6 22.1 21.4 25.5
    25.6 31.6 26.5 24.1
    21.4 22.4 21.5 25.9
    26.6 31.3 22.8 25.5
    19.0 32.5 27.4 26.3
    12.6 12.8 22.0 ...

    Solution Summary

    Step by step method for computing test statistic for One way ANOVA in Minitab

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