Answer to Question #153619 in Statistics and Probability for lucky

Question

You have a group of individuals randomly split into smaller groups and completing different tasks. For example, you might be studying the effects of tea on weight loss and form three groups: green tea, black tea, and no tea. Perform ANOVA test to find out whether green tea is more effective or black tea for the following data set: (g, 0.1), (g, 0.2), (g, -0.3), (g, 0.0), (g, -0.1), (b, 0.1), (b, 0.1), (b, 0.2), (b, 0.2), (n, 0.0), (n, 0.1), (n, 0.2), (n, -0.05), (n, 0.1) where each pair represents an element of data set comprised of observations of 5 continuous days on 3 different persons having different tea intake. Element's first entity tells whether a person is taking g (green tea), b (black tea) or n (no tea) and second entity tells the change in weight (positive = gain, negative = loss)

Answer 1

H₀: μ₁ = μ₂ = μ₃

H₁: At least two means are differ

The F value calculated 1.82 < critical value F(crit) of 3.98. The probability to obtain this result by chance (P-value) was calculated as 0.207 or 20.7 %. So, we are able to conclude that there was not significant difference in average between the three groups. There are not effects of tea on weight loss.