Question

Background Nete A onc-way ANOVA was run for cach row in the table in the excerpt. For each, a value of F is shown. Duncun's test was also run for cach row. In a given row, entries with superscript "a" have aigaificantly different means from entrics with superscript "b". Note that, as a gcncra! rule, il there is no indication that a difference (or a set of cifferences) is significant, the reaer should assome that it is nol significant. Excerpt from the Research Article As part ol a latger study of family functioning. a total of 104 families (adolcscenls, mothers and fathers) participated in this study. All participatng failies in the currenl siudy included an ad- lescnl, he mother, and the Labcr Adolescents were requircd io have at least mutnthly face-to-face contact with their biologicai mother and tbeir biological father for inclasion... Participants completed he age-appropriate version of the arter Self-Perception Protiles, wbich conceptualize sels-esteem aR perccived competence in muhiple domains. The social accen- tance domain ussesses participants' pcrccptios of feeling accepted by peers, feeling popular, snd feeling cornfortable around others. The physical appearancc domain assesses rts scif perceplions of their attractivencss and their satisfaction with their uppcarance. The athictic compe- tence dotnain assesses participanis feelings of their competence in sports and othcr physical activi- tes. The slohal sclf worth subscale assesses participants' leelings about themsclvesveral (ie., n: tied to any spccific domain...). In orucr lo iest for the racial ethnic group differences.. a series of ANOVAs was complcted for cach informant (adolescents, mothcrs, and nthers). Sişmifica ANOVAs werc followed up by post hoc Duncan's tests. י Soorac: Phares. .. Fields. S , watkins-Cay. M. M. Kamb uke. D. & Haa, s COS). Raeerhpicy sd elf-stocm in uilies of sdolescents Chiid&Foniy Behvior Therugv. 27, 3-26. Table 1 Means and Standard Deviations for Self-Esteem Race/ethnici Caucasian African American His F-Value Social acceptance Mothers Fathers 3.15 (.76) 3.23 (.67) 2.98 (.71) 3.13 (.74) 3.44 (55) 3.36 (.62) 3.38 (51) 3.25 (60) 3.20 (.66) 1.21 2.81 Physical appearance Mothers Fathers 2.82 (85) 2.49 (.84) 2.79 (.51) 3.14 (82) 3.06 (.77) 2.82 (84) 2.92 (.75) 2.70 (.70) 3.13 (.65) 0.81 1.56 3.16 Athletic competence Adolescents Mothers Fathers 2.79 (87) 2.04 (79 2.49 (78) 2.79 (.58) 2.96 (80) 2.90 (.68) 3.35 (.66) 3.18 (66) 2.07 (.64) 2.88 (.75) 1.96 3.95 0.27 Global self-worth Adolescents 3.34 (.60) 3.17 (.76) .96 (.62) 3.33 (.72) 3.25 (65) 3.24 (.71) 338 (53)b 0.23 3.32 (67) Fathers Note. Standard deviations are in parentheses. Different superscripts signify significant mean differences p<.05

3. Which group (family member/race/ethnicity) had the highest mean score for “Global self-worth?”

4. Which group (family member, race/ethnicity) had the lowest mean score for “Global self-worth?”

5. Should the mean differences for Fathers in “Physical appearance” be declared statistically significant? Why or why not?

6. Should the null hypothesis be rejected for the difference referred to in Question 3? If so, at what probability level should it be rejected?

7. Were there any statistically significant differences in adolescents’ self-esteem scores across racial and ethnic categories for any of the measures of self-esteem? Explain your answer.

Answer 1

14.5+220-5+964 5-6201 Gven thal- The exchgoeurd Arowa co S DUnfcoach mo『n.the-k ht, A One- cOO inthe ezcept tfos cach avaluc of is shouo, oun nen's lest also bur difemence s signiaicont the beodes should assume thar 4 is not signfcon Exceppt fom the Rescosch Aotic le Pamlics pasticipted i this study. fam lies Paotici pants ploted 0s pesce ptions Cobo petence The secfal acceptande domain messages pos he cipanks the glokal assesses pubueiponls, felings ohouk in mulhiple domains Reling accpledby ees feeling or theis Compelene in spot ond othes physical activttics shemelves vesa) ticd to any specilic dong n

Values of F oxe 316, 3.95, 4.59 mony mctn ase heing Cmpored Go ch AbuA? thnee means ooc Compo athers vispanicttho theis ncans ase highest 3.38)