Topic 8 DQ 1:2

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Grand Canyon University *

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Statistics

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Jan 9, 2024

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Topic 8 DQ 1 To determine whether a new sleeping pill has an affect that varies with dosage, a researcher randomly assigns adult insomniacs, in equal numbers, to receive either 4 or 8 grams of the sleeping pill. The amount of sleeping time is measured for each subject during an 8-hour period after the administration of the dosage. What type of design is this, and what type of statistic is needed to analyze the data (consider ABAB studies)? The research design described in the scenario is a randomized controlled trial (RCT) with a between-subjects design. In this study, the independent variable is the sleeping pill dosage, with two levels: 4 grams and 8 grams. The dependent variable is the amount of sleeping time measured for each subject during an 8-hour period after the administration of the dosage. Since participants are randomly assigned to either the 4-gram or 8-gram dosage group, this design helps control potential confounding variables. It allows for investigating the specific effects of the different dosages on sleeping time. A between-subjects analysis would be appropriate to analyze the data from this study. One commonly used statistical test for diagnosing the results of such a design is the independent samples t-test. The t-test would help determine whether there are statistically significant differences in sleeping time between the two dosage groups. Additionally, analysis of variance (ANOVA) could be employed if there are more than two dosage levels to compare. It's worth noting that "ABAB studies" usually refer to a different experimental design, specifically a single-case experimental design used in behavioral research. In your scenario, the focus is on a between-subjects design with two dosage levels, and the statistical analysis would typically involve an independent samples t-test or ANOVA, depending on the study's complexity. Reference Tanious, R., De, T. K., Michiels, B., Van den Noortgate, W., & Onghena, P. (2020). Assessing consistency in single-case ABAB phase designs. Behavior Modification , 44(4), 518-551. https://journals.sagepub.com/doi/abs/10.1177/0145445519853793 DQ 2 Dr. Bill Board designs a 2 X 2 between-subjects factorial design, where Factor A is word frequency (low or high) and Factor B is category cues (no cues or cues). Assume that the data are interval. What type of statistic is needed to analyze the data? Dr. Bill Board utilizes a 2 X 2 between-subjects factorial design, incorporating Factor A (word frequency: low or high) and Factor B (category cues: no cues or cues) with interval data. In analyzing this data, Dr. Bill would require a chi-square test, also denoted as χ2 test, a statistical hypothesis test. This test assesses the likelihood that the observed distribution is due to chance,
serving as a "goodness of fit" statistic. The chi-square independence test applies when examining the relationship between two qualitative variables, such as word frequency and category cues (Witte & Witte, 2017). It compares the frequency of each category for one nominal variable across the categories of the second nominal variable. Thus, Dr. Board can use the chi-square test to explore the connection between word frequency (high or low) and category cues (cues or no cues) in this mixed factorial design. Dr. Bill Board, employing a 2 X 2 between-subjects factorial design with interval data and factors of word frequency and category cues, would utilize a chi- square test of independence to analyze the relationship between these qualitative variables. The chi-square test assesses the fit of the observed distribution with the expected distribution under the assumption of independence, providing insights into the connection between word frequency and category cues in the study. Reference Witte, R. S., & Witte, J. S. (2017). Statistics. John Wiley & Sons. https://books.google.com/books? hl=en&lr=&id=KcxjDwAAQBAJ&oi=fnd&pg=PA1&dq=Witte,+R.+S.,+%26+Witte,+J.+S. +(2017).Statistics(11th+ed.).+Hoboken, +NJ&ots=d3sVU5cNex&sig=zzEOs8MvbsGD4q6QhlrRDdw96CY#v=onepage&q&f=false
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