MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

According to the ANOVA, should the set of three means for adolescents on “Physical appearance” be declared to be statistically significant? Explain.

Word File Edit View Insert Format Tools Table Window Help 11% Tue 3:49 PM AutoSave W- EDFN3520-Journal Article #6-One-Way ANOVA-50 - Saved to my Mac OFF Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Calibri (Bo... 11 A A Aa ♥ AaBbCcDc AaBbCcDdEe AaBb( AaBbCcDdE€ > AaBbCcDdEe AaBbCcDdEe = = == Paste ev Av No Spacing Styles Dictate Sensitivity I U ab X, x A Normal Heading 1 Heading 2 Title Subtitle Pane Exercise 50 Race/Ethnicity and Self-Esteem: One-Way ANOVA with Post Hoc Tests Table 1 Means and Standard Deviations for Self-Esteem Race/ethnicity Caucasian African American Hispanic/Latino/Latina F-Value Social acceptance 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) Adolescents 1.17 1.21 2.81 Mothers Fathers Physical appearance 2.82 (.85) 2.49 (.84) 2.79 (.51)ª 3.06 (.77) 2.82 (.84), 3.14 (.82)b 2.92 (.75) 2.70 (.70) 3.13 (.65) Adolescents 0.81 Mothers 1.56 Fathers 3.16* Athletic competence Adolescents Mothers 2.79 (.87) 2.04 (.79)* 2.79 (.58) 2.96 (.80) 2.49 (.78) 2.90 (.68) 3.18 (.66) 2.07 (.64)* 2.88 (.75) 1.96 3.95* Fathers 0.27 Global self-worth 3.34 (.60) 3.17 (.76) 2.96 (.62) 3.35 (.66) 3.32 (.67) 3.33 (.72) 3.25 (.65) 3.24 (.71) 3.38 (.53) Adolescents 0.23 0.39 4.59* Mothers Fathers Note. Standard deviations are in parentheses. Different superscripts signify significant mean differences. *p<.05. Page 2 of 2 O words English (United States) EO Focus 113% DEC tv W •.. lil 00
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Transcribed Image Text:Word File Edit View Insert Format Tools Table Window Help 11% Tue 3:49 PM AutoSave W- EDFN3520-Journal Article #6-One-Way ANOVA-50 - Saved to my Mac OFF Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Calibri (Bo... 11 A A Aa ♥ AaBbCcDc AaBbCcDdEe AaBb( AaBbCcDdE€ > AaBbCcDdEe AaBbCcDdEe = = == Paste ev Av No Spacing Styles Dictate Sensitivity I U ab X, x A Normal Heading 1 Heading 2 Title Subtitle Pane Exercise 50 Race/Ethnicity and Self-Esteem: One-Way ANOVA with Post Hoc Tests Table 1 Means and Standard Deviations for Self-Esteem Race/ethnicity Caucasian African American Hispanic/Latino/Latina F-Value Social acceptance 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) Adolescents 1.17 1.21 2.81 Mothers Fathers Physical appearance 2.82 (.85) 2.49 (.84) 2.79 (.51)ª 3.06 (.77) 2.82 (.84), 3.14 (.82)b 2.92 (.75) 2.70 (.70) 3.13 (.65) Adolescents 0.81 Mothers 1.56 Fathers 3.16* Athletic competence Adolescents Mothers 2.79 (.87) 2.04 (.79)* 2.79 (.58) 2.96 (.80) 2.49 (.78) 2.90 (.68) 3.18 (.66) 2.07 (.64)* 2.88 (.75) 1.96 3.95* Fathers 0.27 Global self-worth 3.34 (.60) 3.17 (.76) 2.96 (.62) 3.35 (.66) 3.32 (.67) 3.33 (.72) 3.25 (.65) 3.24 (.71) 3.38 (.53) Adolescents 0.23 0.39 4.59* Mothers Fathers Note. Standard deviations are in parentheses. Different superscripts signify significant mean differences. *p<.05. Page 2 of 2 O words English (United States) EO Focus 113% DEC tv W •.. lil 00
Word File Edit View Insert Format Tools Table Window Help 11% Tue 3:49 PM AutoSave W- EDFN3520-Journal Article #6-One-Way ANOVA-50 - Saved to my Mac OFF Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Calibri (Bo... 11 A A Aa ♥ AaBbCcDC AaBbCcDdE AaBb AaBbCcDdE€ > AaBbCcDdEe AaBbCcDdEe = = == Styles Sensitivity Paste ev Av Dictate I U ab x, x A Normal No Spacing Heading 1 Heading 2 Title Subtitle Pane Exercise 50 Race/Ethnicity and Self-Esteem One-Way ANOVA with Post Hoc Tests Statistical Guide To review the one-way ANOVA, see the statistical guide for Exercise 49. Note that a one- way ANOVA indicates only if a set of differences is statistically significant. For instance, if an ANOVA indicates that the set of mean differences among Groups A, B, and C is significant, it does not indicate which of the following pairs are significant: (1) A versus B, (2) A versus C, and (3) B versus C. In other words, the significant ANOVA indicates only that one or more of these pairs is significant. To pinpoint which pairs(s) are significant, post học tests (also known as multiple- comparisons tests) are used. There are several post hoc tests, one of which, known as Duncan's test, is reported below. Note that post hoc tests are run only to compare pairs of means in a set that has first been identified as statistically significant with an ANOVA. Background Notes A one-way ANOVA was run for each row in the table in the excerpt. For each, a value of F is shown. Duncan's test was also run for each row. In a given row, entries with superscript (*) have significantly different means from entries with superscript (°). Note that as a general rule if there is no indication that a difference (or a set of differences) is significant, the reader should assume that it is not significant. Excerpt from the Research Article' As part of a larger study of family functioning, a total of 104 families (adolescents, mothers, and fathers) participated in this study. All participating families in the current study included an ado- lescent, the mother, and the father. Adolescents were required to have at least monthly face-to-face contact with their biological mother and their biological father for inclusion.... Participants completed the age-appropriate version of the Harter Self-Perception Profiles, which conceptualize self-esteem as perceived competence in multiple domains. The social accep- tance domain assesses participants' perceptions of feeling accepted by peers, feeling popular, and feeling comfortable around others. The physical appearance domain assesses participants' self- perceptions of their attractiveness and their satisfaction with their appearance. The athletic compe- tence domain assesses participants' feelings of their competence in sports and other physical activi- ties. The global self-worth subscale assesses participants' feelings about themselves overall (i.e., not tied to any specific domain...). In order to test for the racial/ethnic group differences..., a series of ANOVAS was completed for each informant (adolescents, mothers, and fathers). Significant ANOVAS were followed up by post hoc Duncan's tests. Page 1 of 2 O words English (United States) EO Focus 113% DEC étv A W •.. lil 00
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Transcribed Image Text:Word File Edit View Insert Format Tools Table Window Help 11% Tue 3:49 PM AutoSave W- EDFN3520-Journal Article #6-One-Way ANOVA-50 - Saved to my Mac OFF Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Calibri (Bo... 11 A A Aa ♥ AaBbCcDC AaBbCcDdE AaBb AaBbCcDdE€ > AaBbCcDdEe AaBbCcDdEe = = == Styles Sensitivity Paste ev Av Dictate I U ab x, x A Normal No Spacing Heading 1 Heading 2 Title Subtitle Pane Exercise 50 Race/Ethnicity and Self-Esteem One-Way ANOVA with Post Hoc Tests Statistical Guide To review the one-way ANOVA, see the statistical guide for Exercise 49. Note that a one- way ANOVA indicates only if a set of differences is statistically significant. For instance, if an ANOVA indicates that the set of mean differences among Groups A, B, and C is significant, it does not indicate which of the following pairs are significant: (1) A versus B, (2) A versus C, and (3) B versus C. In other words, the significant ANOVA indicates only that one or more of these pairs is significant. To pinpoint which pairs(s) are significant, post học tests (also known as multiple- comparisons tests) are used. There are several post hoc tests, one of which, known as Duncan's test, is reported below. Note that post hoc tests are run only to compare pairs of means in a set that has first been identified as statistically significant with an ANOVA. Background Notes A one-way ANOVA was run for each row in the table in the excerpt. For each, a value of F is shown. Duncan's test was also run for each row. In a given row, entries with superscript (*) have significantly different means from entries with superscript (°). Note that as a general rule if there is no indication that a difference (or a set of differences) is significant, the reader should assume that it is not significant. Excerpt from the Research Article' As part of a larger study of family functioning, a total of 104 families (adolescents, mothers, and fathers) participated in this study. All participating families in the current study included an ado- lescent, the mother, and the father. Adolescents were required to have at least monthly face-to-face contact with their biological mother and their biological father for inclusion.... Participants completed the age-appropriate version of the Harter Self-Perception Profiles, which conceptualize self-esteem as perceived competence in multiple domains. The social accep- tance domain assesses participants' perceptions of feeling accepted by peers, feeling popular, and feeling comfortable around others. The physical appearance domain assesses participants' self- perceptions of their attractiveness and their satisfaction with their appearance. The athletic compe- tence domain assesses participants' feelings of their competence in sports and other physical activi- ties. The global self-worth subscale assesses participants' feelings about themselves overall (i.e., not tied to any specific domain...). In order to test for the racial/ethnic group differences..., a series of ANOVAS was completed for each informant (adolescents, mothers, and fathers). Significant ANOVAS were followed up by post hoc Duncan's tests. Page 1 of 2 O words English (United States) EO Focus 113% DEC étv A W •.. lil 00
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