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In the Following Study, Participants Were Randomly Assigned to Receive

question 129

Essay

In the following study, participants were randomly assigned to receive humanistic therapy, psychodynamic therapy, or behavioral therapy for their depression. Six months after therapy ended, participants' levels of depression were rated on a Likert scale from 1 (not at all depressed) to 15 (extremely depressed).
 GROUP  N  MEAN  STD DEV  STD ERROR  1 (humanistic) 105.402.170.69 2 (psychodynamic) 107.502.840.90 3 (behavioral) 105.603.130.99\begin{array}{lcccc}{\text { GROUP }} & \text { N } & \text { MEAN } & \text { STD DEV } & \text { STD ERROR } \\\text { 1 (humanistic) } & 10 & 5.40 & 2.17 & 0.69 \\\text { 2 (psychodynamic) } & 10 & 7.50 & 2.84 & 0.90 \\\text { 3 (behavioral) } & 10 & 5.60 & 3.13 & 0.99\end{array}


ONEWAY ANOVA: THERAPY bY DEPRESSION
 SUM OF  MEAN  SOURCE  SQUARES  DF  SQUARES  F RATIO  PROB.  BETWEEN GROUPS 26.87213.731.78.187 WTHIN GROUPS 203.30277.53 TOTAL 230.1729\begin{array} { l c c c c c } & \text { SUM OF } & & \text { MEAN } & & \\ \text { SOURCE } & \text { SQUARES } & \text { DF } & \text { SQUARES } & \text { F RATIO } & \text { PROB. } \\ & & & & & \\ \text { BETWEEN GROUPS } & 26.87 & 2 & 13.73 & 1.78 & .187 \\ \text { WTHIN GROUPS } & 203.30 & 27 & 7.53 & & \\ \text { TOTAL } & 230.17 & 29 & & & \end{array}

POST HOC TEST: Tukey-HSD with significance level .05
* Indicates significant differences shown for pairings

GGGrrrppp123\begin{array}{lll}G & G & G \\r & r & r \\p & p & p \\1 & 2 & 3\end{array}

 Mean THERAPY 5.40 Grp 1 7.50 Grp 2 5.60 Grp 3 \begin{array}{ll}\text { Mean}& \text { THERAPY }\\5.40 & \text { Grp 1 } \\7.50 & \text { Grp 2 } \\5.60 & \text { Grp 3 }\end{array}

-How could you change this experiment to be a matched sets design?

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Definitions:

Bowling Average

A statistical measure in the sport of bowling, calculated by dividing the total number of pins knocked down by the total number of games played.

Three-game Average

A statistical calculation used to determine a player's average performance over three games, often applied in sports to assess recent performance.

Unusually Low

Pertains to a value or level that is significantly below what is considered normal or typical.

Higher

At an elevated level in terms of quality, amount, or degree compared to something else.

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