Descriptive Statistics for Score 1:
Descriptive Statistics for Score2:
Descriptive Statistics for Change:
Detailed Descriptive Statistics:
The upper and lower bars represent the 90th and 10th percentiles respectively. The red bar in the middle of each box represents the median. The box extends from the 25th to the 75th percentile. The blue dot is the mean with lines extending one standard error of the mean in each direction. The dotted line is the mean averaging across all groups.
In JMP, the solid red diagonal line is the line that the points would fall on if the data were perfectly normal, the black dots are the data points, and the dotted curved lines are the Lillifors confidence intervals.
JMP gives the difference of the means of the two groups as Estimate in the difference column. Then the Std. Error is also that of the difference of the means of the two groups. For example, when looking at the score2 by active, estimate refers to the difference between the mean of the score2 for subjects with a placebo magnet subtracted from the mean of score2 for those subjects with an active magnet. JMP gives the probability of a two tailed test, since we it reports it at prob>|t|. This means to get our pvalue for a one tailed test, simply divide the probability given by 2.
JMP gives a lot of output for ANCOVA. The first report of the ANCOVA is to simply verify the efficacy or meaningfulness of performing an ANCOVA. We only displayed the tables with which we are concerned. In the effect test, we see each of the two dependent variables (the covariate, and the factor variable) and the interaction. In the second ANCOVA, notice how we omitted the interaction. We only test the significance of the covariate and the factor variable.
ANCOVA testing the significance of the interaction.
Regression analysis
JMP gives us the line of best fit superimposed on the scatterplot of the data. It also gives us the R^2 values, and the estimates of our intercept and slope of the line. ANOVA is a type of regression, and JMP recognize this and gives the