Treat n Min Q1 Median Q3 Max o 37 48114 173|211 441 1 38 47 131 166.5 212) 428 2 34 70|140 163.5 246 512 Treat 21 0 100 200 400 500 300 Acutet Hospt Treat Outcome Age Gender Row 1 var8 1 0 1 33 1 2 1 0 1 1 49 Time 36.143002 105.143 74.570999 49.714001 14.429 Acute T 211 176 191 206 3 1 0 50 1 1 2 1 4 1 0 1 29 5 1 0 0 63 29 6 1 2 1 5 70 30 2 7 1 0 0 56 8 2 1 48 1 1 1 1 2 2 9 2 55 512 162 306 165 0 22 61 10 1 2 1 11 1 1 0 58 1 1 1 0 129 31 1 12 13 1 1 0 44 1 14 1 1 1 55 2 104.857 2.8570001 102.429 55.714001 106.429 105.143 83 27.285999 105.857 5.5710001 98 16.285999 1.286 2.1429999 100 27.143 15 1 0 0 57 428 256 197 227 168 194 16 1 0 1 46 17 1 0 1 0 58 57 18 1 0 2 1 1 1 1 1 1 19 2 0 1 173 54 20 0 0 48 23 2 2 21 1 0 47 65 22 2 1 1 95 27 23 2 0 1 4 148 50 1 1 2 1 24 2 0 1 41 25 2 2 0 127 129 182 65 26 2 2 1 52 74.142998 104.857 0.14300001 1.429 45.856998 17.429001 27 2 2 1 90 60 1 1 2 28 2 2 177 25 1 1 29 2 1 234 27 30 2 1 0 78 32 2 1 2 2 1 1 43 31 32 0 20 2 2 2 0 33 0 23 322 141 165 239 147 348 274 130 34 2 1 66.857002 78.429001 78.429001 78.142998 15.857 79 32.570999 0 36 2 2 2 2 2 2 35 2 1 0 22 36 0 0 49 3 3 37 1 0 40 Row Hospt Treat Outcome Time Age Gender va 3 0 1 9 38 39 40 AcuteT 98 77 2 3 0 1 54 26 48 3.286 206 1 3 1 0 90 1 41 3 1 30 51 2 3 1 7.1430001 M M M . | 2 280 167 181 399 3 42 43 44 45 1 1 3 1 35 28 23 57 47 1 3 2 1 2 5 0 31 17.285999 0.14300001 3.286 1.571 19.714001 126.714 1 1 289 182 159 122 5 1 0 31 2 5 0 1 1 5 1 0 27 61 60 115 343 1 5 2 1 8 1 5 0 1 28 1 5 2 1 114 249 140 1 36 29 5 2 0 1 5 0 0 1 34 49 5 1 0 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 1 5 1 0 45 5 0 1 110 214 224 294 162 140 147 28 1 5 2 71.713997 63.714001 96.286003 50.856998 155 39.570999 36.285999 102.571 8.1429996 28 38 111.571 165 16 124.571 0 24 2 5 2 1 2 5 1 0 33 34 60 1 5 1 0 1 5 1 0 138 196 139 2 5 0 0 1 5 2 1 23 35 45 46 38 32 1 1 5 0 0 5 0 0 68 2 246 105 160 146 187 372 66 67 5 2 0 2 1 5 2 39.570999 131 3.4289999 0 5 1 1 1 5 0 0 42 146 2 68 69 70 71 72 73 74 5 1 0 1 33 52 50 38 47 23 31 5 0 1 26 37.856998 92.713997 106.714 1 131 237 105 140 5 1 1 1 5 1 0 1 Hospt Treat Outcome Age Gender var8 5 2 1 Acute T 136 147 1 5 2 0 Row 75 76 77 78 79 80 55 39 41 1 1 1 5 5 2 1 Time 11.143 115 44 75 77.857002 0.28600001 86 0 160 175 261 62 2 5 2 0 50 2 0 1 46 1 5 5 146 195 81 1 0 33 2 82 5 2 0 476 1 12.429 22 22 37 5 0 0 2 83 84 6 0 1 5.4289999 40 2 441 86 201 130 6 0 0 67 1 85 86 22 30 6 1 1 2 87 6 0 1 86 63 2 6 1 0 40 1 88 89 6 0 1 3.4289999 6.2859998 5 5.2859998 1 3.4289999 6.5710001 1 90 6 1 1 209 214 72 238 133 128 23 52 23 1 2 2 6 1 1 6 1 22 2 6 2 1 1 1 2 6. 2 0 139 91 92 93 94 95 96 97 98 23 30 26 6 1 0 2 148 285 6 0 1 46 1 6 2 1 1 61 30 6 1 1 2 99 6 1 0 45 109.571 0.85699999 4.7140002 0.57099998 9.1429996 102 46.285999 0.57099998 6.4289999 0 141 212 168 305 204 39 1 6 1 0 49 1 6 0 1 57 1 100 101 102 103 6 0 1 51 1 140 182 6 0 1 1 6 2 1 162 53 31 43 104 105 1 6 2 1 1 6 2 1 29 207 102 154 106 107 108 1 20.857 18.285999 31.857 22 6 1 1 1 6 1 1 203 176 28 51 33 1 1 109 6 0 1 2 110 Learn by Doing In this activity, you will investigate the first question related to the study described below. Some features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer. Here are the directions and grading rubric for the Learn by Doing discussion board exercises. A list of StatCrunch directions is provided at the bottom of this page. Context Clinical depression is a recurrent illness requiring treatment and often hospitalization. Nearly 50% of people who have an episode of major depression will have a recurrence within 2-3 years. Being able to prevent the recurrence of depression in people who are at risk for the disease would go a long way to alleviate the pain and suffering of patients. During the 1980's the federal government, through the National Institutes of Health (NIH), sponsored a large clinical trial to evaluate two drugs for depression. There were 3 treatment groups. Patients received either Imipramine (Imip), Lithium (Li), or a Placebo (Pl). Researchers randomly assigned patients to one of the 3 treatment groups and followed them for 2-4 years to track any recurrences of depression. (Prien et al., Archives of General Psychiatry, 1984). Variables . . Hospt: Which hospital the patient was from: Labeled 1, 2, 3, 5 or 6 Treat: O=Lithium; 1=Imipramine; 2=Placebo Outcome: O=Success 1=Failure (recurrence of depression) Time: Number of weeks until a recurrence (if outcome=1) or until study ended (if outcome=0) AcuteT: How long the patient was depressed before the start of the current study, measured in days Age: Age in years Gender: 1=Female 2=Male . . Data If you have not done so already, download the depression datafile (as always, if a login box opens, just close it and then download the file). Then upload the file in StatCrunch. Prompt We will analyze the data to answer the second research question: Which of the drugs (if either) delayed the recurrence of depression longer relative to the placebo? In the previous lab-preparation activity, we identified Treat as the explanatory variable and Time as the response variable. We also determined that we will analyze the data using side-by-side boxplots and descriptive statistics (i.e. 5-number summaries since the graphs are boxplots). 1. Make graphs and tables. a. Use StatCrunch to produce side-by-side boxplots. (directions) Embed your graphs with your initial post. b. Use StatCrunch to produce the descriptive statistics (a table containing the 5-number summaries for each comparison group). (directions) Copy and paste the StatCrunch output table into your initial post. 2. Analyze the data: Compare the distributions for the treatment groups as demonstrated in Unit 2. For example, compare medians and intervals of typical values. Describe the shape and any outliers. Be sure to write your comparisons so the reader can understand the context of the numbers. For example, don't just say the median is 30; instead, say something like this: on average patients taking the placebo relapsed in 30 days (Q2=30 days). 3. Draw a conclusion: What can we conclude from your analysis? Did one drug successfully delay a relapse of depression better than the others? What evidence supports your conclusion? 4. Summarize your conclusions in response to both research questions: In this lab you compared three treatments (two drugs and the placebo) using two different variables. In Part 1 you compared whether or not a relapse into depression occurred for each of the two drugs and the placebo. In Part 2 you compared the length of time until the next relapse for the two drugs and the placebo. What can you conclude in light of both analyses? Is one treatment better than the other? How does the data support your conclusion? Treat n Min Q1 Median Q3 Max o 37 48114 173|211 441 1 38 47 131 166.5 212) 428 2 34 70|140 163.5 246 512 Treat 21 0 100 200 400 500 300 Acutet Hospt Treat Outcome Age Gender Row 1 var8 1 0 1 33 1 2 1 0 1 1 49 Time 36.143002 105.143 74.570999 49.714001 14.429 Acute T 211 176 191 206 3 1 0 50 1 1 2 1 4 1 0 1 29 5 1 0 0 63 29 6 1 2 1 5 70 30 2 7 1 0 0 56 8 2 1 48 1 1 1 1 2 2 9 2 55 512 162 306 165 0 22 61 10 1 2 1 11 1 1 0 58 1 1 1 0 129 31 1 12 13 1 1 0 44 1 14 1 1 1 55 2 104.857 2.8570001 102.429 55.714001 106.429 105.143 83 27.285999 105.857 5.5710001 98 16.285999 1.286 2.1429999 100 27.143 15 1 0 0 57 428 256 197 227 168 194 16 1 0 1 46 17 1 0 1 0 58 57 18 1 0 2 1 1 1 1 1 1 19 2 0 1 173 54 20 0 0 48 23 2 2 21 1 0 47 65 22 2 1 1 95 27 23 2 0 1 4 148 50 1 1 2 1 24 2 0 1 41 25 2 2 0 127 129 182 65 26 2 2 1 52 74.142998 104.857 0.14300001 1.429 45.856998 17.429001 27 2 2 1 90 60 1 1 2 28 2 2 177 25 1 1 29 2 1 234 27 30 2 1 0 78 32 2 1 2 2 1 1 43 31 32 0 20 2 2 2 0 33 0 23 322 141 165 239 147 348 274 130 34 2 1 66.857002 78.429001 78.429001 78.142998 15.857 79 32.570999 0 36 2 2 2 2 2 2 35 2 1 0 22 36 0 0 49 3 3 37 1 0 40 Row Hospt Treat Outcome Time Age Gender va 3 0 1 9 38 39 40 AcuteT 98 77 2 3 0 1 54 26 48 3.286 206 1 3 1 0 90 1 41 3 1 30 51 2 3 1 7.1430001 M M M . | 2 280 167 181 399 3 42 43 44 45 1 1 3 1 35 28 23 57 47 1 3 2 1 2 5 0 31 17.285999 0.14300001 3.286 1.571 19.714001 126.714 1 1 289 182 159 122 5 1 0 31 2 5 0 1 1 5 1 0 27 61 60 115 343 1 5 2 1 8 1 5 0 1 28 1 5 2 1 114 249 140 1 36 29 5 2 0 1 5 0 0 1 34 49 5 1 0 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 1 5 1 0 45 5 0 1 110 214 224 294 162 140 147 28 1 5 2 71.713997 63.714001 96.286003 50.856998 155 39.570999 36.285999 102.571 8.1429996 28 38 111.571 165 16 124.571 0 24 2 5 2 1 2 5 1 0 33 34 60 1 5 1 0 1 5 1 0 138 196 139 2 5 0 0 1 5 2 1 23 35 45 46 38 32 1 1 5 0 0 5 0 0 68 2 246 105 160 146 187 372 66 67 5 2 0 2 1 5 2 39.570999 131 3.4289999 0 5 1 1 1 5 0 0 42 146 2 68 69 70 71 72 73 74 5 1 0 1 33 52 50 38 47 23 31 5 0 1 26 37.856998 92.713997 106.714 1 131 237 105 140 5 1 1 1 5 1 0 1 Hospt Treat Outcome Age Gender var8 5 2 1 Acute T 136 147 1 5 2 0 Row 75 76 77 78 79 80 55 39 41 1 1 1 5 5 2 1 Time 11.143 115 44 75 77.857002 0.28600001 86 0 160 175 261 62 2 5 2 0 50 2 0 1 46 1 5 5 146 195 81 1 0 33 2 82 5 2 0 476 1 12.429 22 22 37 5 0 0 2 83 84 6 0 1 5.4289999 40 2 441 86 201 130 6 0 0 67 1 85 86 22 30 6 1 1 2 87 6 0 1 86 63 2 6 1 0 40 1 88 89 6 0 1 3.4289999 6.2859998 5 5.2859998 1 3.4289999 6.5710001 1 90 6 1 1 209 214 72 238 133 128 23 52 23 1 2 2 6 1 1 6 1 22 2 6 2 1 1 1 2 6. 2 0 139 91 92 93 94 95 96 97 98 23 30 26 6 1 0 2 148 285 6 0 1 46 1 6 2 1 1 61 30 6 1 1 2 99 6 1 0 45 109.571 0.85699999 4.7140002 0.57099998 9.1429996 102 46.285999 0.57099998 6.4289999 0 141 212 168 305 204 39 1 6 1 0 49 1 6 0 1 57 1 100 101 102 103 6 0 1 51 1 140 182 6 0 1 1 6 2 1 162 53 31 43 104 105 1 6 2 1 1 6 2 1 29 207 102 154 106 107 108 1 20.857 18.285999 31.857 22 6 1 1 1 6 1 1 203 176 28 51 33 1 1 109 6 0 1 2 110 Learn by Doing In this activity, you will investigate the first question related to the study described below. Some features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer. Here are the directions and grading rubric for the Learn by Doing discussion board exercises. A list of StatCrunch directions is provided at the bottom of this page. Context Clinical depression is a recurrent illness requiring treatment and often hospitalization. Nearly 50% of people who have an episode of major depression will have a recurrence within 2-3 years. Being able to prevent the recurrence of depression in people who are at risk for the disease would go a long way to alleviate the pain and suffering of patients. During the 1980's the federal government, through the National Institutes of Health (NIH), sponsored a large clinical trial to evaluate two drugs for depression. There were 3 treatment groups. Patients received either Imipramine (Imip), Lithium (Li), or a Placebo (Pl). Researchers randomly assigned patients to one of the 3 treatment groups and followed them for 2-4 years to track any recurrences of depression. (Prien et al., Archives of General Psychiatry, 1984). Variables . . Hospt: Which hospital the patient was from: Labeled 1, 2, 3, 5 or 6 Treat: O=Lithium; 1=Imipramine; 2=Placebo Outcome: O=Success 1=Failure (recurrence of depression) Time: Number of weeks until a recurrence (if outcome=1) or until study ended (if outcome=0) AcuteT: How long the patient was depressed before the start of the current study, measured in days Age: Age in years Gender: 1=Female 2=Male . . Data If you have not done so already, download the depression datafile (as always, if a login box opens, just close it and then download the file). Then upload the file in StatCrunch. Prompt We will analyze the data to answer the second research question: Which of the drugs (if either) delayed the recurrence of depression longer relative to the placebo? In the previous lab-preparation activity, we identified Treat as the explanatory variable and Time as the response variable. We also determined that we will analyze the data using side-by-side boxplots and descriptive statistics (i.e. 5-number summaries since the graphs are boxplots). 1. Make graphs and tables. a. Use StatCrunch to produce side-by-side boxplots. (directions) Embed your graphs with your initial post. b. Use StatCrunch to produce the descriptive statistics (a table containing the 5-number summaries for each comparison group). (directions) Copy and paste the StatCrunch output table into your initial post. 2. Analyze the data: Compare the distributions for the treatment groups as demonstrated in Unit 2. For example, compare medians and intervals of typical values. Describe the shape and any outliers. Be sure to write your comparisons so the reader can understand the context of the numbers. For example, don't just say the median is 30; instead, say something like this: on average patients taking the placebo relapsed in 30 days (Q2=30 days). 3. Draw a conclusion: What can we conclude from your analysis? Did one drug successfully delay a relapse of depression better than the others? What evidence supports your conclusion? 4. Summarize your conclusions in response to both research questions: In this lab you compared three treatments (two drugs and the placebo) using two different variables. In Part 1 you compared whether or not a relapse into depression occurred for each of the two drugs and the placebo. In Part 2 you compared the length of time until the next relapse for the two drugs and the placebo. What can you conclude in light of both analyses? Is one treatment better than the other? How does the data support your conclusion