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For males and females, there are three highly attractive individuals, three moderately attractive individuals, and three highly unattractive individuals.

The main difference between the sum of squares of the within-subject factors and between-subject factors is that within-subject factors have an interaction factor.

More specifically, the total sum of squares in a regular one-way ANOVA would consist of two parts: variance due to treatment or condition (SS – R)(C – 1), in which Nk is the number of participants, R and C remain the same.

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As can be seen in the source table provided below, the between-subject variables can be partitioned into the main effect of the first factor and into the error term.

The within-subjects terms can be partitioned into three terms: the second (within-subjects) factor, the interaction term for the first and second factors, and the error term.

Thus, overall, the model is a type of mixed-effects model.

A repeated measures design is used when multiple independent variables or measures exist in a data set, but all participants have been measured on each variable.

The participants are the individuals who sign up for the speed dating event and interact with each of the 9 individuals of the opposite sex. After each date, they rate on a scale of 0 to 100 how much they would like to have a date with that person, with a zero indicating "not at all" and 100 indicating "very much".

The random factors, or so-called repeated measures, are looks, which consists of three levels (very attractive, moderately attractive, and highly unattractive) and the personality, which again has three levels (highly charismatic, moderately charismatic, and extremely dull).

The looks and personality have an overall random character because the precise level of each cannot be controlled by the experimenter (and indeed may be difficult to quantify The fixed-effect factor, or so-called between-subjects measure, is gender because the participants making the ratings were either female or male, and precisely these statuses were designed by the experimenter.

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