Jamovi HW9

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University of Oregon *

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302

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Statistics

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Feb 20, 2024

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Jamovi Homework 9 34 points Problem 1 – 15 points Danielle Navarro 1 and her partner have a son. When that son was an infant, Danielle noticed that she was feeling a lot more grumpy, and her grumpiness tended to fluctuate with the amount of sleep that her son got the night before. She started to keep track of how many hours of sleep her baby was getting and her level of grumpiness on a scale from 0 (not at all grumpy) to 100 (grumpy as a very, very grumpy old man or woman). She tracked these variables for 100 days and saved the results to a file called parenthood2.csv . Load these data into jamovi and answer the following questions. Descriptives (1 point) Provide a table showing descriptive statistics for each variable (1 point). Scatterplot (1 point) Create a scatterplot showing the relationship between the amount of time the baby sleeps and Danielle’s level of grumpiness and paste it here (1 point). Correlation matrix (1 point) 1 Who wrote a fantastic free, online statistics textbook, Learning Statistics with jamovi
Create a correlation matrix that tests whether there is a relationship between the amount of sleep Danielle’s baby gets and her grumpiness and paste it here (1 point). Non-APA portion (3 points) Define the null and make a decision about it by doing the following: State the null hypothesis (in plain language) (1 point) State your decision about the null hypothesis (1 point) State the rationale for your decision about the null hypothesis (1 point) There is no relationship between Danielle’s grumpiness levels and the amount of sleep her son had each night. Alternative hypothesis: there is a relationship among Danielle’s grumpiness levels and the amount of sleep her son slept. We reject the null hypothesis, that there is no relationship among Danielle’s grumpiness and the amount of sleep her son got, because the p-value < .05. APA style-write up (9 points) Write an APA style report of your findings. See the “APA-Style Formatting Guidelines” handout for a reminder of how to format an APA-style report. Your report should include each of the following: State the type of statistical analysis used (1 point) Report descriptive statistics for each variable (0.5 point each) Report whether the relationship between the variables was significant or non-significant (1 point) Describe the direction of the relationship (1 point) Report the value of the correlation coefficient with its degrees of freedom (1 point) Report the precise p-value to three decimals (unless jamovi reports p = .000, in which case you use p < .001) (1 point) Report a relevant 95%CI (1 point)
A sentence describing what the nature of the relationship means in the context of these two variables (1 point) Correct APA style formatting (1 point) Using a correlation analysis, we found that there was a negative, strong, and significant correlation between the hour the infant slept (M = 8.05 , SD = 2.08 ) and the grumpiness levels (M = 64.04, SD = 10.42 ) of Danielle, r (10.42) = -.61, p < .001, 95% CI [-.72, -.46]. Problem 2 – 19 points As a student, you probably have noticed a curious phenomenon. In every class, there are some students who zip through exams and turn in their papers while everyone else is still on page 1. Other students cling to their exams and continue working until the very last minute. Have you ever wondered what grade these students get? Are the students who finish first the best in the class or are they simply eager to finish? To answer this question, the following data are time spent on test and the grade each student ( n = 15) received. Import the datafile exams.csv into jamovi. Conduct a regression analysis predicting exam grade from time spent on the test. Output (3 points) 1) Provide a table showing descriptive statistics for each variable (1 point) and provide both tables showing the results of the inferential test (2 points). For the inferential tables, include both the “Model Fit Measures” and the “Model Coefficient” table. Scatterplot (1 point)
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2) Paste a scatterplot that visualizes the relationship between minutes spent on the exam and exam score. Include the regression line overlaid on top of the scatterplot. (1 point) Non-APA portion (3 points) Define the null and make a decision about it by doing the following: State the null hypothesis (in plain language) (1 point) State your decision about the null hypothesis (1 point) State the rationale for your decision about the null hypothesis (1 point) There is no relationship between the time in minutes to complete the exam and the given exam scores. Alternative hypothesis: There is a relationship among the time in minutes taken to complete the exam and the exam scores. We decide to reject the null hypothesis, that there is no relationship between the time in minutes to complete the exam and the given exam scores, because the p-value < .05. APA portion (12 points) 4) Write an APA style report of your findings. Your report should include the following: 1. A sentence about whether the model as a whole accounts for a significant proportion of the variance, which reports the following: a. description of whether the model was significant or non-significant (1 point) b. the multiple R-squared statistic (1 point) c. the F-test value (1 point) with its degrees of freedom (1 point) d. the precise p-value reported by jamovi (1 point) 2. A sentence providing the equation of the linear model (1 point) 3. A sentence about the significance of minutes spent on the exam as a predictor of exam scores: a. description of whether the predictor was significant (1 point) b. description of the direction of the relationship (1 point)
c. the coefficient representing the slope for the predictor-outcome relationship (1 point) d. the t-test value (1 point) with its degrees of freedom (1 point) e. the precise p-value reported by jamovi (1 point) Using a linear regression model, we found a positive, moderate, and significant regression between the minutes (M = 48.35, SD = 7.53 ) it took to complete the exam, and the exam scores (M = 84.12, SD = 8.67 ) given, F [1, 15] = 16.62, p < .001. The R 2 = .53, indicating that the exam scores explained approximately 53% of the variance in time it took to take the test. The equation that describes the following linear regression model is: Y’ = .841X + 43.46. For each one minute ( t (15) = 4.08, p < .001) spent taking the exam, increased exam scores ( t (15) = 4.38, p <.001) the predicted exam scores increased by approximately .84 percentage.