# ANOVA -volatility for sector stocks over a period of time

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

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