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1、Writing the Results Section1Some Studies with Results Sections Reporting Common Statistical Tests and ProceduresStudy which reports the results of chi-square tests of hypothesesStudy which reports the results of factor analysis, logistic regression, and multiple regression analysisStudy which report
2、s the results of ANOVA tests of main and interaction effects in an experiment Study which reports the results of ANOVA tests in a non-experimental design2Sample Results reporting from Some of our Previous Analyses, Labs, and ExamReporting an ANOVA result for a one-way ANOVATo test the hypothesis tha
3、t marital status has a significant impact on hours spent watching TV, a one-way analysis of variance was conducted. A significant value of F (4, 1483) of 10.684 was obtained (p.001). The effect size (partial eta squared) was .028. Power to detect the effect was .999. The Levene test for the equality
4、 of variances among the levels of the independent variable (marital status) found that the variances were significantly different (F = 4.622, p .01), suggesting that an alternative post hoc test for pair-wise differences of means should be used. The mean TV hours watched by marital status were: wido
5、wed, 3.91; separated, 3.00; divorced, 2.96, never married, 2.91; and married, 2.67. Post-hoc tests of pair-wise mean differences using the Tamhane T2 statistic indicated that significant differences in hours spent watching television were obtained between married and widowed, between widowed and div
6、orced, and between widowed and never married. Although the significant overall F and significant post hoc differences indicated that there was a tendency for marital status to influence number of hours spent watching TV, the effect size was very small even given statistical power of .99.3Sample Resu
7、lts reporting from Some of our Previous Analyses, Labs, and Exam, contdReporting the results of a t-test:The hypothesis was tested that people who own their own home watch significantly fewer hours of TV per day than people who do not own their own home (t (unequal variances) = -3.914, df = 529.171,
8、 p .005). People who owned their own home watched an average of 2.70 hours of TV per day, while people who did not own their own home watched an average of 3.37 hours of TV per day.4Writing up a Multiple RegressionReporting the results of a hierarchical multiple regression analysisTo test the hypoth
9、esis that a countrys level of male literacy is a function of three variables, the countrys annual increase in population, percentage of people living in cities, and gross domestic product, a hierarchichal multiple regression analysis was performed. Tests for multicollinearity indicated that a very l
10、ow level of multicollinearity was present (VIF = 1.54 for people living in cities, 1.15 for annual increase in population, and 1.663 for gross domestic product). People living in cities was the first variable entered, followed by annual population increase and then GDP, according to our theory. Resu
11、lts of the regression analysis provided partial confirmation for the research hypothesis. Beta coefficients for the three predictors were people living in cities, = .493, t = 5.539, p .001; annual population increase, = -.517, t = -6.698, p .001; and gross domestic product, = -.063, t = -.676, p = .
12、501, n.s. The best fitting model for predicting rate of male literacy is a linear combination of the countrys annual population increase and the percentage of people living in cities (R = .762, R2 = .581, F (2,82) = 56.823, p .001). Addition of the GDS variable did not significantly improve predicti
13、on (R2 change = .002. F = .457, p = .501).5Where to Look for Guidance in the APA ManualFor the best guidance on writing the results section, consult the APA style manual, pp. 20-27, and the section on tables and figures, pp. 147-204, which includes many examples for different types of analysesOn pag
14、es 140-144 there are tables about how to refer to statistical symbols and abbreviations in the textGenerally speaking, when preparing your paper for publication you italicize these:N, M, df, p, SS, SE t, F, a, and b, R, R2, H when referring to a hypothesisAnd you leave these in regular type:MANOVA,
15、ANOVA, , , or other Greek symbols, and superscripts and subscripts that dont refer to variables such as when youre squaring or indicating that X is the first variable, second variable, etc6General APA Guidelines on Writing the Results SectionYour main priority in the Results section is to report on
16、the tests of your hypothesis and tell your reader whether or not you obtained evidence in support of your research hypotheses, or failed to do soTie your writing closely to the hypotheses. Restate the hypothesis under discussion near the beginning of the paragraph and identify the type of test used
17、to assess it. Discuss all the hypotheses in the order in which you presented themIf there is a great deal of material, for example multiple dependent variables for which you want to report means, use a table instead of text. Text is for the statistic used to test the hypothesis, the df, the p level,
18、 power, effect size, etc or for a report of means if there are only a few variablesDont report raw scores even in a table, although you may refer the reader to where they can find it if they are interested and there are no human subjects issues involved in making it available7More Guidelines from AP
19、AGenerally tables are preferred to figures, and no figures are preferred to figures that are home-made looking or not camera readyMost publishers are not interested in reproducing photographs and will complain about it unless they are required for understanding (for example, they constitute the leve
20、ls of one of the factors in an ANOVA design)Be sure to refer to all tables and figures in the text; dont just stick them in without warningThe usual convention is to leave space for a table and fill that space with a note to the publisher that says Table 1 about here in the spot where you want it to
21、 go. Then you put the tables in order at the end of the document after the references and appendicesWhenever possible include the items used in your surveys or questionnaires in an appendix which you mention in the text of the Results section8More Guidelines from APAWhat to report:One of the first t
22、hings you report is the reliability of any measures you have used. Report alpha reliability or repeated measures correlations. If your alpha falls below .80 for any measure you should rethink using itGenerally you should report the test statistic, the df, the probability level, the power, the effect
23、 size, the means if there are not too many, whether or not the hypothesis was supported, the direction of any effects or mean differences. Ns, means and standard deviations can be reported in a table. Some journals encourage reporting of confidence intervals9And More APA GuidelinesIn a factorial des
24、ign where there are multiple cells, also report the cell means, sample sizes for the cell, and cell standard deviationsFor an F test, reproduce the ANOVA table in a separate table (showing the SS for between and within, the mean squares, F, etc. This would include not only experiments or factorial designs but also other kinds of statistics whose significance is tested by F such as R2Some journals require you to provide the variance-covariance or correlation matrix when you report on a multiple regression or correlation analysis. You can get this output easily from SPSS
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