Question

T test results- t-statistic, df, p-value. What the output means, both statistically and in terms of differences between the sites?

t(5) = -5.11, p=0.0037

Anova results- F-statistic, df (between and within groups), p-value. What the output means, both statistically and in terms of differences between the sites?

F(5, 36) = 4.26, p=0.0038

Linear Regression results-F-statistic, df (regression and residual), p-value, R2. What the output means, both statistically and in terms of differences between the sites?

F(1,91)=794, p=0.011, R2=0.90

Answer 1

(A) t(5) = -5.11, p=0.0037

p value(0.0037) is less than significance level 0.05, we will reject the null hypothesis because result is statistically significant.

This means that there is sufficient evidence to conclude that the means differ significantly.

(B) F(5, 36) = 4.26, p=0.0038

p value(0.0038) is less than significance level 0.05, we will reject the null hypothesis because result is statistically significant.

This means that there is sufficient evidence to conclude that at least two means differ significantly.

(C) F(1,91)=794, p=0.011, R2=0.90

p value(0.011) is less than significance level 0.05, we will reject the null hypothesis because result is statistically significant.

This means that there is sufficient evidence to conclude that at least two means differ significantly.

R^2 is 0.90, which means that 90% of variation in dependent variable is explained by the model.