Question

1. In an analysis of variance (ANOVA), large score differences for participants who received the same treatment will produce a large value for __________.
   1. SS_between
   2. SS_within
   3. df_between
   4. df_within
2. Please explain why you chose your answer above:_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answer 1

option B is correct

SS_within as SS within is sum of squares within or measure of variation within group(or within a treatment).

As difference between scores are larger therefore SS_within should be larger

Answer 2

In an analysis of variance (ANOVA), large score differences for participants who received the same treatment will produce a large value for SSwithin (Sum of Squares Within).

Explanation:

1. SSbetween (Sum of Squares Between): SSbetween represents the variability between the group means. It measures how much the group means differ from each other. In other words, it quantifies the variation between the groups, considering the effect of the treatment or factor being studied.

2. SSwithin (Sum of Squares Within): SSwithin represents the variability within each group. It measures how much the individual scores within each group deviate from their respective group mean. It quantifies the variation within the groups, independent of the treatment or factor being studied.

When large score differences occur for participants who received the same treatment, it means that there is substantial variability within each group. Participants' scores in the same group are quite spread out, leading to a larger spread between individual scores and their group mean. As a result, the value of SSwithin will increase.

In contrast, if there are small score differences within each group, SSwithin will be relatively small since the scores are close to their respective group means.

To summarize, when large score differences occur for participants within the same treatment group, it leads to a larger value for SSwithin in ANOVA, indicating more variability within the groups.