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In the Following Study, Participants Were Randomly Assigned to Receive

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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}

-This study is an independent groups design. How do you know?


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