One-way ANOVAConditionsObservations in each group is a random sample from a Normal population.•All populations have the same variance. Assumption considered reasonable if the largest sample SD is no larger than twice the smallest sample SD.•Samples are independent.•Normality assumption may be waived if each sample is greater than 20. Results are considered approximate question-Does it seem reasonable to make the assumptions needed to use the ANOVA procedure for these data? Justify your answer by referring to the above outputs. Produce the Density Trace and Normal Probability Plot of the Residuals. Dens ity Trace0.080.060.040.02-10-6-261014RESIDUALSThe StatAdvisorThis graph shows a density trace for RESIDUALS. A density trace is essentially a smoothed histogram, which shows the shape ofthe distribution from which the sample comes. The trace is constructed by counting the number of observations within an intervalof fixed width as it is moved along the x-axis, and weighting them in such a way as to give a smooth estimate of the underlyingdensity function. The density trace in the current plot uses weighted counts (cosine method) with an interval equal to 60% of thehorizontal axis width.density Normal Probability Plot99.999958050205.0.1-10-6-261014RESIDUALSThe StatAdvisorThis graph shows a normal probability plot for RESIDUALS. To create this plot, the data values have been sorted from smallest tolargest. They have then been plotted versus the values (i-0.375)/(n+0.25), where n is the size of the sample. If the data come froma normal distribution, the points should fall approximately along a straight line. To help judge how close to a straight line they are,a reference line has been superimposed on the plot. The reference line passes through the median with slope determined fromthe interquartile range. If the points show significant curvature, it may well be an indication of skewness in the data.

Name: One-way ANOVAConditionsObservations in each group is a random sample f
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Description: One-way ANOVAConditionsObservations in each group is a random sample from a Normal population.•All populations have the same variance. Assumption considered reasonable if the largest sample SD is no larger than twice the smallest sample SD.•Samples a

With the help of the density trace we can verify if the data is normal or not. In the case of…

Answered: One-way ANOVA Conditions Observations…

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One-way ANOVA

Conditions

Observations in each group is a random sample from a Normal population.

•

All populations have the same variance. Assumption considered reasonable if the largest sample SD is no larger than twice the smallest sample SD.

•

Samples are independent.

•

Normality assumption may be waived if each sample is greater than 20. Results are considered approximate

question-Does it seem reasonable to make the assumptions needed to use the ANOVA procedure for these data? Justify your answer by referring to the above outputs. Produce the Density Trace and Normal Probability Plot of the Residuals.

Dens ity Trace
0.08
0.06
0.04
0.02
-10
-6
-2
6
10
14
RESIDUALS
The StatAdvisor
This graph shows a density trace for RESIDUALS. A density trace is essentially a smoothed histogram, which shows the shape of
the distribution from which the sample comes. The trace is constructed by counting the number of observations within an interval
of fixed width as it is moved along the x-axis, and weighting them in such a way as to give a smooth estimate of the underlying
density function. The density trace in the current plot uses weighted counts (cosine method) with an interval equal to 60% of the
horizontal axis width.
density

Normal Probability Plot
99.9
99
95
80
50
20
5.
0.1
-10
-6
-2
6
10
14
RESIDUALS
The StatAdvisor
This graph shows a normal probability plot for RESIDUALS. To create this plot, the data values have been sorted from smallest to
largest. They have then been plotted versus the values (i-0.375)/(n+0.25), where n is the size of the sample. If the data come from
a normal distribution, the points should fall approximately along a straight line. To help judge how close to a straight line they are,
a reference line has been superimposed on the plot. The reference line passes through the median with slope determined from
the interquartile range. If the points show significant curvature, it may well be an indication of skewness in the data.

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