Computer Lab Assignment Packet Updated 8/19/2011 v4 Using StatCrunch In order for you to complete the computer labs using StatCrunch, you will need to complete three steps with StatCrunch. 1. Create Your StatCrunch Account 2. Know How to Enter Data 3. Know How to Print Output The notes that correspond to these videos are below. Once you have completed these videos, you may proceed to the video and directions for completing Lab #1. Creating Your StatCrunch Account 1. Open a web browser (Mac users should use Safari) and enter the URL for StatCrunch: www.statcrunch.com 2. Click Subscribe 3. This will take you to a special registration screen. Select one of the STUDENT options. Create whatever ID and password you are comfortable with. You will need to pay for a subscription of $12 for 6 months with a credit card or PayPal. Lab Packet—Page 1 Entering Data 1. Open a web browser (Mac users should use Safari) and enter the URL for StatCrunch: www.statcrunch.com 2. At the Sign In screen, enter ID and Password. Click Sign In! 3. Click Open StatCrunch. This will take you to the data screen, which is set up like a spreadsheet with columns and rows. Columns represent separate variables, while rows represent individuals. 4. To enter data, click on the first cell under var1 and next to row 1. Enter the number and press return. Pressing return will automatically move your cursor down to the next cell under var1. Continue to enter data for var1. 5. You may change the variable name by clicking on var1 and hitting backspace or delete until the letters of “var1” have been removed. But I recommend keeping the variables labels of var1, var2, etc. This will help in later assignments. 6. Once all data has been entered, you may conduct the appropriate test. Lab Packet—Page 2 Printing Output 1. Every time you conduct an analysis, output will be generated in a separate output screen. 2. Within each output screen, you need to click Options and select Export to My Results (Save/Copy/Print). 3. On the next screen, click Export. 4. Your output should now be placed in My Results Folder. So go back to your data screen and Click on the menu My StatCrunch, and select My Results. 5. You should see a portion of your output in My Results. Click on the link for the particular results you want to print or copy. 6. You now should see the entire output file. You have three options: Copy, Print, Mail. If you select Copy, your output will be copied to the clipboard so you can just paste into a Word document, like you computer lab assignment. Lab Packet—Page 3 Computer Lab Advice • Each Computer Lab Assignment includes an answer sheet and StatCrunch directions. • You will need to submit the answer sheet. I recommend copying and pasting the answer sheet into a new Word document. • Look over the answer sheet so that you understand the scenario and what is being asked. • Proceed to follow the step-by-step StatCrunch directions and screen shots. • When entering data, follow how the data is presented in the scenario by entering data in a spreadsheet format. For example, for Lab #1 you are given two columns of data to enter. In StatCrunch, it would look like this. Group 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 Satisfaction 35 42 53 26 77 52 22 61 68 44 21 33 58 62 29 41 19 27 52 37 • Paste your StatCrunch output into your Word document with the answer sheet, since you need to submit your output as well. Use the output to complete the answer sheet. • Type in your answers in the answer sheet. Don’t worry about special formatting, such as greek letters (µ, σ) or less than/equal to symbols (≤), just use M for µ. Lab Packet—Page 4 Name: 8 Computer Lab #1 Answer Sheet Frequency Distributions, Central Tendencies & Variability A psychologist is studying gender differences in comfort with expressing anger. Twenty participants (10 Males in Group 1, 10 Females in Group 2) complete the Anger Expression Inventory, where a high score indicates more comfort with expressing anger. Use the data to the right for analysis in StatCrunch. 1. Reading the output, complete the table below. (2 pts) n M SD Group 1-Male Group 2-Female Total Sample 2. Review the frequency distribution of COMFORT w/ANGER scores generated for the total sample. Following the rules in the course packet, construct a grouped frequency histogram by hand (without StatCrunch). Based upon YOUR histogram, identify the interval width, number of intervals, and starting point below. You do not need to submit your self-generated histogram! a. interval width = (1 pt) b. # of intervals = (1 pt) c. starting point = (1 pt) Gender Anger 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 35 42 53 38 77 52 48 61 68 44 21 33 58 62 29 41 44 27 52 37 d. Compare YOUR histogram to the one generated by StatCrunch. Based upon the rules in the course packet, which histogram provides a more accurate picture of the distribution of satisfaction scores? Why? (1 pt) 3. Review the descriptive statistics that compare the two groups. Which group is more comfortable expressing anger? What statistics support your conclusion? (1 pt) 4. StatCrunch output included. (1 pt) Lab Packet—Page 5 Directions for Computer Lab #1 Getting Started 1. 2. 3. 4. Open StatCrunch at: http://www.statcrunch.com Enter StatCrunch ID and password. Click Sign in! Click Open StatCrunch. 5. Enter gender (IV) data in first column as var1. So column 1 should have ten 1’s and ten 2’s. 6. Enter anger (DV) data in second column as var2. Column 2 should have twenty anger scores. Directions for Data Analysis Part 1—Descriptive stats of DV by Group (use this output for the table in Lab item #1) • Click the Stat menu. • Click Summary Statistics and select Columns. • • • • Click var2. Next to Group By and select var1. Make sure that Table groups for each column is checked. Click Calculate. Part 2—Descriptive Stats for Total Sample (use this output for the table in Lab item #1). • Click the Stat menu. • Click Summary Statistics and select Columns. • Click var2. • Click Calculate. Directions continue on the next page!!!! Lab Packet—Page 6 Part 3—Grouped Frequency Histogram for Total Sample • Click Graphics. • Click Histogram. • Click on var2. Your output should look similar to the output below. But keep in mind, the results will be different since you are using different data. Practice Lab #1 Example Output Summary statistics for var2 grouped by var1 (this table was generated from Part 1 directions) var1 n Mean 1 9 29.333334 2 8 3 13 Variance Std. Dev. Std. Err. Median Range Min Max 42 6.4807405 32.75 101.92857 35.846153 74.14103 Q1 Q3 2.1602468 30 18 21 39 25 33 10.095968 3.5694637 31.5 26 22 48 23.5 41 8.610518 2.388128 38 27 22 49 36 40 Summary statistics (this table was generated from Part 2 directions) Column var2 n Mean Variance Std. Dev. Std. Err. Median Range Min Max Q1 Q3 30 33.066666 74.68506 8.642052 1.5778155 34.5 28 21 Grouped Frequency Histogram of Reading for Total Sample from Part 3 directions) Lab Packet—Page 7 49 25 39 (this histogram was generated Name: / 10 Computer Lab #2 Answer Sheet One Sample z Test Woodstock Middle School has many English as a Second Language (ESL) students, all of whom are integrated into both the regular Science and Math courses with no extra ESL support for these subjects. The science teacher is interested in determining if there is a significant difference between the science achievement scores of ESL students compared to the norm, which has been identified as µ=40 and σ=4. The science teacher collected the science achievement data from 16 randomly selected 8th grade ESL students. Do ESL students score significantly different in science achievement from the norm? Use the Science Score data below to analyze in StatCrunch. Test at the .05 level 1. a. Independent Variable: b. Scale? (1 pt) Categorical Quantitative 2. a. Dependent Variable: b. Scale? 3. Circle: (1 pt) Categorical One-tailed Quantitative Two-tailed (.5) 4. Write the alternative hypothesis in sentence form. (1 pt) Science Scores 40 38 41 42 42 33 47 37 38 40 5. Write the null and alternative hypotheses using correct notation. (1 pt) H1: H0: 6. What are the values for each of the following? (1.5 pts) a. sample mean = 39 42 43 49 48 50 b. p value = c. zcalculated = 7. Based on the results of the hypothesis test, a) Do you reject the null or fail to reject the null? Explain your decision. (1 pt) b) Using proper notation, write the conclusion and results as if they were going to be reported in a manuscript. (2 pts) 8. StatCrunch output included. (1 pt) Lab Packet—Page 8 Using StatCrunch for a z- test Computer Lab #2 Getting Started 1. Open StatCrunch at: http://www.statcrunch.com 2. Enter StatCrunch ID and password. 3. Click Sign in! 4. Click Open StatCrunch. 5. Enter science data in first column as var1. Directions for Data Analysis 1. Click the Stat menu. 2. Click Z Statistic, One sample, with data. 3. Click on var1. 4. Enter population standard deviation. For our problem it is 4. 5. Click Next. 6. Enter population mean. For our problem it is 40. 7. Select appropriate hypothesis test by indicating the appropriate hypothesis notation (two-tailed or one-tailed). In our scenario, the researcher is predicting that her group will be different from the norm (two-tailed), so we select the “not equal” (≠) symbol. 8. Click Calculate. Lab Packet—Page 9 11 Name: Computer Lab #3 Answer Sheet One Sample t Test A school psychologist wants to examine the effects of excessive television viewing on reading ability. It is known that the average number of words read per minute for a fourth grade student is µ =52. The psychologist has students log the number of hours one watches TV for two weeks. Fifteen students are selected because each averages 3 or more hours of television viewing each night. Can the school psychologist conclude that excessive television viewing decreases reading ability? Use the reading data below to analyze in StatCrunch. Test at the .05 level. 1. a. Independent Variable: b. Scale? (1 pt) Categorical Quantitative 2. a. Dependent Variable: b. Scale? 3. Circle: (1 pt) Categorical One-tailed Quantitative Two-tailed (.5 pt) 4. Write the alternative hypothesis in sentence form. (1 pt) 5. Write the alternative and null hypotheses using correct notation. (1 pt) H1: H0: 6. What are the sample values for each of the following? (2.5 pts) a) mean = Reading 53 46 44 38 57 52 37 34 38 50 51 46 45 39 49 b) degrees of freedom = c) standard error = d) tcalculated = e) p value= 7. Based on the results of the hypothesis test, a) Do you reject the null or fail to reject the null? Explain your decision. (1 pt) b) Using proper notation, write your conclusion and results as if they were going to be reported in a manuscript. (2 pts) 8. StatCrunch output included. (1 pt) Lab Packet—Page 10 Using StatCrunch for a Single Sample t- test Computer Lab #3 Getting Started 1. Open StatCrunch at: http://www.statcrunch.com 2. Enter StatCrunch ID and password. 3. Click Sign in! 4. Click Open StatCrunch. 5. Enter reading data in first column as var1. Directions for Data Analysis 1. Click the Stat menu. 2. Click T Statistics, One Sample, with data 3. Click on var1. 4. Click Next. 5. Enter population mean. For our scenario, the population mean is 52. 6. Select appropriate hypothesis test by indicating the appropriate hypothesis notation (two-tailed or onetailed). Since the hypothesis is predicting that the sample will be lower (one-tailed), we select the “less than” (<) symbol. 7. Click Calculate. Lab Packet—Page 11 /13 Name: Computer Assignment #4 Answer Sheet Independent Samples t Test A school psychologist wants to know if high school male athletes have a greater concern for their body shape than male non-athletes. The school psychologist uses a scale called the Attention to Body Shape Scale. This measures a participant’s opinion of their body shape on a 5-point Likert scale with seven different items. The items are added together to give a mean score between one and five. A higher overall score shows that the participant has more concern for their body shape. A sample 32 high school students were given the Attention to Body Shape Scale (Group 1=16 athletes, Group 2=16 non-athletes). Can you conclude that high school male athletes are more concerned with their body shape than non-athletes? Test at the .05 level. 1. a. Independent Variable: b. Scale? (1 pt) Categorical Quantitative 2. a. Dependent Variable: b. Scale? 3. Circle: (1 pt) Categorical One-tailed Two-tailed Quantitative (.5) 4. Write the alternative hypothesis in sentence form. (1 pt) Group 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 5. Write the null and alternative hypotheses using correct notation. (1 pt) H 0: H1: 2 2 6. What are the values for each of the following? (3.5 pts) a. Group 1 mean = b. Group 1 standard deviation = c. Group 2 mean = d. Group 2 standard deviation = e. degrees of freedom = f. p-value = g. tcalculated = 2 7. Calculate effect size (r ) = 2 2 2 2 2 2 (1 pt) 8. Based on the results of the hypothesis test, a. 2 Do you reject the null or fail to reject the null? Explain. (1 pt) 2 2 2 2 b. Using proper notation, write your conclusions and results as if they were going to be reported in a manuscript. (2 pts) 9. Statcrunch output included. (1 pt) Lab Packet—Page 12 Body 3.8 4.2 3.6 2.8 4.1 4.3 4.1 2.6 5.0 4.2 3.2 3.2 4.5 4.6 3.3 2.9 3.4 3.2 2.1 1.9 4.1 3.2 1.6 2.2 2.8 2.5 3.2 3.2 4.0 2.5 2.5 2.1 (2 pt Using StatCrunch for a t- test of Independent Samples Computer Assignment #4 Getting Started 1. Open StatCrunch at: http://www.statcrunch.com 2. Enter StatCrunch ID and password. 3. Click Sign in! 4. Click Open StatCrunch. 5. Enter group data in first column as var1. 6. Enter body score data in second column as var2. Part 1: Directions for Data Analysis 1. Click Stat menu. • Select T Statistics, Two Sample, with data 2. Define samples. • Indicate that Sample 1 is var2, where var1=1 (do not include any spaces) • Indicate Sample 2 is var2, where var1=2 • Click Next. 3. Select appropriate hypothesis test by indicating the appropriate hypothesis notation (two-tailed or onetailed). For our scenario, we are predicting that Group 1 will be greater than Group 2 (one-tailed). Since the mean difference is calculated by m1-m2, we predict that the mean difference will be greater (>) than 0. 4. Click Calculate. Lab Packet—Page 13 Part 2: Directions for Descriptive Stats for Lab #4 (this step will calculate descriptive statistics for each group) 1. Click the Stat menu • Select Summary Stats, click Columns. 2. Under Select Columns, click var2. • Under Group By, select var1. 3. Click Calculate. Lab Packet—Page 14 Name: / 10 Computer Assignment #5 Answer Sheet Related Samples t-Test A school psychologist would like to examine the effects of physical activity on ADHD symptoms in a male student population. A sample of 16 subjects is obtained. Each participant’s ADHD symptoms are rated via the CRS-R, an autism diagnostic rating scale, both before and after a 4 week enrollment in an after-school sports program. Does physical activity significantly affect ADHD symptoms? Test at the .05 level. (10 pts) 1. a. Independent Variable = b. Scale (circle): (1 pt) Categorical Quantitative 2. a. Dependent Variable = b. Scale (circle): 3. Circle: (1 pt) Categorical One-tailed Quantitative Two-tailed (1 pt) 4. Alternative hypothesis in sentence form. (1 pt) 5. Write the alternative and null hypotheses using correct notation. (1 pt) H1: H 0: 6. tcalculated = (.5 pt) 7. Level of significance (p) = Before 16 18 16 20 24 17 21 27 18 16 19 22 18 26 25 16 After 14 19 13 19 19 17 16 20 13 13 19 16 14 20 24 15 (.5 pt) 8. Based on the results of the hypothesis test, a. Do you reject the null or fail to reject the null? Explain. (1 pt) b. Using proper notation, write your conclusions and results as if they were going to be reported in a manuscript. (2 pts) 9. Statcrunch output included. (1 pt) Lab Packet—Page 15 Using StatCrunch for a t- test of Related Samples Computer Assignment #5 Getting Started 1. Open StatCrunch at: http://www.statcrunch.com 2. Enter StatCrunch ID and password. 3. Click Sign in! 4. Click Open StatCrunch. 5. Enter before (pre) data in first column as var1. 6. Enter after (post) data in second column as var2. Directions for Data Analysis 1. Click the Stat menu • Select T Statistics, and Paired 2. Indicate that Sample 1 is var1 o Indicate that Sample 2 is var2 o Click Next 3. Select appropriate hypothesis test by indicating the appropriate hypothesis notation (two-tailed or onetailed). For our example, we are predicting that there will be a difference (two-tailed), so we will select the default of “not equal” (≠). 4. Click Calculate. Lab Packet—Page 16 Name: /5 EXTRA CREDIT Computer Assignment Answer Sheet #1 Coke vs Pepsi: Independent Samples t-Test Use the Coke/Pepsi data from the class activity to complete this extra credit assignment. Conduct a t test of independent samples to determine if diet drinkers (when compared to regular drinkers) are more accurate in tasting the difference between Coke and Pepsi. Test at the .05 level. a. Independent Variable = Scale (circle): Categorical Quantitative (.5) b. Dependent Variable = Scale (circle): Categorical Quantitative (.5) c. Circle: One-tailed Two-tailed (.5) d. Alternative hypothesis in sentence form. (.5) e. Write the alternative and null hypotheses using correct notation. (.5) H1: H 0: f. tcalculated = h. Circle: (.5) reject null or g. Level of significance (p) = fail to reject null (.5) (.5) i. Using proper notation, write your conclusion and results as if they were going to be reported in a manuscript. (.5) j. effect size = (.5) Lab Packet—Page 17 Name: /5 EXTRA CREDIT Computer Assignment Answer Sheet #2 Coke vs Pepsi: Related Samples t-Test Use the Coke/Pepsi data from the class activity to complete this extra credit assignment. Conduct a t-test of Related Samples to determine if one’s prediction of ability (for tasting the difference between Coke and Pepsi) significantly differs from one’s actual ability of tasting the difference. Think of your prediction of taste ability as a pre-test and the actual taste ability as the post test. Test at the .05 level. a. Independent Variable = Scale (circle): Categorical Quantitative (.5) b. Dependent Variable = Scale (circle): Categorical Quantitative (.5) c. Circle: One-tailed Two-tailed (.5) d. Alternative hypothesis in sentence form.(.5) e. Write the alternative and null hypotheses using correct notation. (.5) H1: H 0: f. tcalculated = h. Circle: (.5) reject null or g. Level of significance (p) = fail to reject null (.5) (.5) i. Using proper notation, write your conclusion and results as if they were going to be reported in a manuscript. (1) Lab Packet—Page 18 StatCrunch Directions for Coke/Pepsi Experiment Part ID Getting Started 1. Open StatCrunch at: http://www.statcrunch.com 2. Enter StatCrunch ID and password. 3. Click Sign in! 4. Click Open StatCrunch. 5. Enter Preference data in var1 column Enter Predict% data in var2 column Enter Actual% data in var3 column 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Preference (var 1) 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 Directions for Extra Credit #1: t test of independent samples 1. Click the Stat menu • Select T Statistics, Two Sample, with data o Indicate that Sample 1 is var3, where var1=1 o Indicate that Sample 2 is var3, where var1=2 2. Click Next o Select appropriate hypothesis test by indicating the Predict % (var 2) 20 40 80 100 100 60 100 60 40 60 0 0 40 20 100 Actual % (var 3) 20 60 20 100 60 80 80 20 0 40 40 60 40 100 0 appropriate hypothesis notation (two-tailed or onetailed). 3. Click Calculate. Your data Directions for Extra Credit #2: t test of related samples goes here! 1. Click the Stats menu • Under T Statistics, click Paired o Indicate that Sample 1 is var2 o Indicate that Sample 2 is var3 2. Click Next o Select appropriate hypothesis test by indicating the appropriate hypothesis notation (two-tailed or one-tailed). 3. Click Calculate. Lab Packet—Page 19 Name: / 12 Computer Assignment #6 Answer Sheet ANOVA A school psychologist believes that socio-economic status impacts a child’s IQ score. The school psychologist took a sample of n=15 students and identified each as low (1), middle (2), or high (3) socio-economic status based on their parents’ income. The psychologist then conducted a standardized IQ test with each student and recorded his/her scores. Based on the results below, does IQ score differ by SES group? Test at α=.01. 1. a. Independent Variable = b. Scale (circle): (1 pt) Categorical Quantitative 2. a. Dependent Variable = b. Scale (circle): (1 pt) Categorical Quantitative 3. Write the alternative hypothesis in sentence form. (1 pt) 4. Write the null and alternative hypotheses using correct notation. (1 pt) H1: H0: 5. What are the values for each of the following? (4 pts) a. Mean St. Error Group 1 Group 2 Group 3 b. p-value= SES 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 IQ 91 75 74 88 80 94 88 86 90 92 99 95 89 96 94 c. Fcalculated = 6. Based on the results of the hypothesis test, a. Do you reject the null or fail to reject the null? Explain your decision. (1 pt) b. Using proper notation, write the conclusion and results as if they were going to be reported in a manuscript. (2 pts) 7. Statcrunch output included. (1 pt) Lab Packet—Page 20 Using StatCrunch for ANOVA Computer Assignment #6 Getting Started 1. Open StatCrunch at: http://www.statcrunch.com 2. Enter StatCrunch ID and password. 3. Click Sign in! 4. Click Open StatCrunch. 5. Enter SES data (IV) in var1 column. 6. Enter IQ (DV) data in var2 column. Directions for Data Analysis 1. Enter IV (Group) data in var1 column 2. Enter DV data in var2 column 3. Click Stat menu • Select ANOVA, One-Way 4. Check Compare Values in a Single Column o Responses are in var2 o Factors are in var1 5. Click Calculate Lab Packet—Page 21 / 10 Name: Computer Assignment #7 Answer Sheet Correlation & Regression A psychologist asserts that teens who experience more extra-curricular activities have higher self-esteem. He measures the self-esteem of 20 high school students and documents the number of hours per week they participate in extra-curricular activities. Is there a positive relationship between number of hours per week of participation in extra-curricular activities and self-esteem for high school students? Test at the .05 level. Also, calculate the regression equation using amount of extra-curricular activities to predict self-esteem. Finally, if one participates in 2 hours of extra-curricular activities, what is his/her predicted level of selfesteem? 1. Write the alternative hypothesis in sentence form. (1 pt) 2. Write the null and alternative hypotheses using correct notation. (1 pt) H1: H0: 3. Looking at the scatter plot, what type of relationship do you see? (1 pt) • Direction (circle): positive negative • Strength (circle): weak moderate strong 4. What are the values for each of the following? a) rcritical = (.5 pt) b) rcalculated= (.5 pt) c) When X is 2, what is the predicted value of Y? (1 pt) 5. Develop the regression equation (1 pt): 6. Based on the results of the hypothesis test, a) Do you reject the null or fail to reject the null? Explain your decision. (1 pt) EC hours 0 2 1 5 10 3 15 4 3 0 6 8 3 5 12 8 4 6 0 11 self esteem 50 48 55 60 65 42 66 52 50 45 44 59 60 58 62 60 51 56 42 59 b) Using proper notation, write your conclusion and results as if they were going to be reported in a manuscript. (2 pts) 7. Statcrunch output included. (1 pt) Lab Packet—Page 22 Using StatCrunch for Correlation and Regression Computer Assignment #7 Getting Started 1. Open StatCrunch at: http://www.statcrunch.com 2. Enter StatCrunch ID and password. 3. Click Sign in! 4. Click Open StatCrunch 5. Enter EC hours (IV) data in first column as var1. 6. Enter self-esteem (DV) data in second column as var2. Directions for Data Analysis 1. Click Stat. • Select Regression, Simple Linear. 2. Identify variables • Select var1 for X variable. • Select var2 for Y variable. Click Next. Lab Packet—Page 23 3. On this next screen, just go with the defaults— don’t change anything. Click Next. 4. Check Predict Y for X= • Insert value for X (this step uses the regression equation to predict Y when X equals a specified value). For our scenario, we use the value of 2. • Click Next. 5. Check Plot the Fitted Line. Click Calculate. Lab Packet—Page 24