Working With Inferential Statistics Essay

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Independent-Samples T-Test

The independent-samples t-test was used to determine the movies that predispose children to a higher number of injuries. According to the assumptions of this form of the t-test, the independent variable should exist on a nominal scale with two categories (Elliott & Woodward, 2015; Pallant, 2016). Hence, “before” and “after 1980” comprise two categories of time of exposure to movies measured on a nominal scale. The assumptions related to the dependent variable are measurement on a continuous scale, lack significant outliers, have homogeneity of variance, and normality of distribution (Field, 2017; Stangor, 2014). The number of injuries is a dependent variable that meets the assumptions of scale and homogeneity of variance, but it violates the lack of significant outliers and the normality of distribution.

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Inferential statistics (Table 1) derived from the independent-samples t-test reveal that children exposed to movies created after 1980 (M = 1.95) did not experience a statistically significantly higher number of injuries than those exposed to movies created before 1980 (M = 1.38), t(t (72) = -1.306, p = 1.96. Thus, the inferential statistics imply that the exposure to movies created after 1980 did not predispose children to experience a statistically significant higher number of injuries compared to exposure to movies created before 1980.

Table 1. Independent Sample t-Test Results.

Levene’s Test for Equality of Variancest-test for Equality of Means
FSig.tdfSig. (2-tailed)Mean DifferenceStd. Error Difference95% Confidence Interval of the Difference
LowerUpper
InjuriesEqual variances assumed.287.594-1.30672.196-.568.435-1.434.299
Equal variances not assumed-1.32171.938.191-.568.430-1.424.289

One-Way ANOVA

Descriptive statistics generated from one-way ANOVA were used to determine the group of children who experienced the most injuries among children exposed to movies created between 1937-1960, 1961-1989, and 1990-1999. The number of injuries comprises a dependent variable that exists on a continuous scale and exhibits homogeneity of variance, which are two assumptions of one-way ANOVA (Gravetter & Wallnau, 2017). This test also requires the independent variable to constitute a nominal variable with more than two categories (Jackson, 2015). The duration of exposure has three categories, namely, between 1937-1960, 1961-1989, and 1990-1999.

Results of ANOVA (Table 2) show that children exposed to movies created between 1990 and 1999 experienced the most injuries (M = 1.95, SD = 1.974) followed by those exposed to movies created between 1961 and 1989 (M = 1.62, SD = 2.037) and between 1937 and 1960 (M = 1.00, SD = 1.00). Hence, the descriptive statistics show that the number of injuries increases with the time when the movies were created.

Table 2. ANOVA Results.

NMeanStd. DeviationStd. Error95% Confidence Interval for MeanMinimumMaximum
Lower BoundUpper Bound
1937-1960131.001.000.277.401.6003
1961-1989211.622.037.444.692.5506
1990-1999401.951.974.3121.322.5809
Total741.691.872.2181.262.1209

References

Elliott, C., & Woodward, A. (2015). IBM SPSS by example: A practical guide to statistical data. Thousand Oaks, CA: SAGE Publications.

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Field, A. P. (2017). Discovering statistics using IBM SPSS statistics (5th ed.). Thousand Oaks, CA: SAGE Publications.

Gravetter, F. J., & Wallnau, L. B. (2017). Statistics for the behavioral sciences. New York, NY: Cengage Learning.

Jackson, J. (2015). Research methods and statistics: A critical thinking approach (5th ed.). Belmont, CA: Cengage Learning.

Pallant, J. (2016). SPSS survival manual: A step-by-step guide to data analysis using SPSS (6th ed.). Maidenhead, England: Open University Press.

Stangor, C. (2014). Research methods for the behavioral sciences. New York, NY: Cengage Learning.

Working With Inferential Statistics

Working With Inferential Statistics

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