BUSI 820 Week 3 Discussion

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Feb 20, 2024

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WEEK 3 DISCUSSION 1 D3.4.1 Using Outputs 4.1a and 4.1b: (a) What Is the Mean Visualization Test Score? (b) What Is the Skewness Statistic for Math Achievement Test? What Does This Tell Us? (c) What Is the Minimum Score for Mosaic Pattern Test? How Can That Be? D3.4.1.(a) What Is the Mean Visualization Test Score? According to Table 1 , the mean visualization test score is 5.2433. Table 1 Descriptive Statistics: Scale Variables D3.4.1.(b) What Is the Skewness Statistic for Math Achievement Test? What Does This Tell Us? According to Table 1 , the skewness statistic for math achievement test is 0.044 and the standard error for the skewness statistic is 0.277. The result of the skewness statistic divided by its standard error is 0.1588 which is less than 2.5. As such, the skewness is not significantly different from normal. We can conclude that math achievement test is normal. A simpler alternative way is to compare the absolute value of the skewness statistic to 1. If it is less than 1, then the variable is approximately normal (Morgan et al., 2022). D3.4.1.(c) What Is the Minimum Score for Mosaic Pattern Test? How Can That Be?

WEEK 3 DISCUSSION 2 According to Table 1 , the minimum score for mosaic pattern test is -4.0. Looking at the codebook, the range of visualization scores spans from -4 to 16. The presence of a -4 score serves as confirmation that at least one individual received the lowest attainable score, likely indicating a negative score resulting from a penalty for incorrect guesses. D3.4.2. Using Output 4.1b: (a) For Which Variables That We Called Scale, Is the Skewness Statistic More Than 1.00 or Less Than –1.00? (b) Why Is the Answer Important? (c) Does This Agree with The Boxplot for Output 4.2? Explain. D3.4.2.(a) For Which Variables That We Called Scale, Is the Skewness Statistic More Than 1.00 or Less Than –1.00? According to Table 1 , there is one variable, that we call scale and that the skewness statistic is more than 1.00 or less than –1.00. It is competence scale . D3.4.2.(b) Why Is the Answer Important? The answer is important because we can conclude that competence scale is not a normal variable. Parametric tests on such variables are less reliable (Ateş, et al, 2019). It may be helpful to label it to ordinal variable (Morgan et al., 2022). D3.4.2.(c) Does This Agree with The Boxplot for Output 4.2? Explain. Yes. According to Figure 1 , competence scale shows more data points in the higher scores, implicating a negative skewness. This is confirmed by a skewness of -1.634. In addition, there are several outlines in the left tail. Figure 1 The Boxplot: Competence Scale and Motivation Scale

WEEK 3 DISCUSSION 3 D3.4.3. Using Output 4.2b: (a) How Many Participants Have Missing Data? (b) What Percent of Students Have a Valid (Non-Missing) Motivation Scale or Competence Scale Score? (c) Can You Tell from Outputs 4.1 And 4.2b How Many Are Missing Both Motivation Scale and Competence Scale Scores? Explain. D3.4.3.(a) How Many Participants Have Missing Data? According to Table 2 , there are 4 participants having missing data on at least one of the variables. Table 2 Case processing Summary: Competence Scale and Motivation Scale

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