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ps2-solutions-06
Course: PS 540, Fall 2009School: UMass (Amherst)
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Summarizing Data (Problem Set 1, Part 2)- Solutions SD2-6. This problem makes use of data collected in the Intensive Care Unit Study data set (ICU.MTW) that you have been using in earlier lessons. We will assume that the data consists of variables collected on a sample of patients. Use the variable for <a href="/keyword/systolic-blood-pressure/" ><a...
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Summarizing Data (Problem Set 1, Part 2)- Solutions SD2-6. This problem makes use of data collected in the Intensive Care Unit Study data set (ICU.MTW) that you have been using in earlier lessons. We will assume that the data consists of variables collected on a sample of patients. Use the variable for <a href="/keyword/systolic-blood-pressure/" ><a href="/keyword/systolic-blood/" >systolic blood</a> pressure</a> (SYS) in this problem. A. Construct a stem-and-leaf plot for <a href="/keyword/systolic-blood-pressure/" ><a href="/keyword/systolic-blood/" >systolic blood</a> pressure</a> . Use the grouping provided by the stem-and-leaf diagram to complete the following: SOLUTION FOR SD 2-6 a. Minitab help: Choose GRAPH > STEM AND LEAF In the dialog box, Select GRAPH VARIABLE : sys Click OK. Stem-and-Leaf Display: sys Stem-and-leaf of sys Leaf Unit = 1.0 N = 200 LO 36, 48 3 7 9 14 21 36 64 90 (30) 80 53 37 25 16 14 8 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 2468 08 00066 0000122 000000004444488 0000000000000000022222224668 00000000022224444666688888 000000000001222222444566668889 000000000012222222444668888 0000002244666888 000022222489 000000044 08 000000 00468 HI 212, 224, 256 B. Construct a frequency table with columns for the following: a. Frequency b. Relative frequency c. Cumulative frequency d. Cumulative relative frequency SOLUTION FOR SD 2-6 B . Minitab Help: DATA > CODE > NUMERIC TO NUMERIC Code data from columns : Choose SYS Into Columns: Name the new column (I have named it newsys) Specify the ranges in the Original values (Eg 1:50, 51:100 and so on In new put the new value you want to appear (Eg 1,2,3,etc) Choose STAT > TABLES > TALLY INDIVIDUAL VARIABLES In the dialog box Select variable :Newsys Under Display: Check Counts, Cumulative Counts, Percents, Cumulative percents Click OK fre 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 25 Count 1 1 1 4 2 5 7 15 28 26 30 27 16 12 9 2 6 5 1 1 1 CumCnt 1 2 3 7 9 14 21 36 64 90 120 147 163 175 184 186 192 197 198 199 200 Percent 0.50 0.50 0.50 2.00 1.00 2.50 3.50 7.50 14.00 13.00 15.00 13.50 8.00 6.00 4.50 1.00 3.00 2.50 0.50 0.50 0.50 CumPct 0.50 1.00 1.50 3.50 4.50 7.00 10.50 18.00 32.00 45.00 60.00 73.50 81.50 87.50 92.00 93.00 96.00 98.50 99.00 99.50 100.00 N= 200 C. Prepare the following graphs for SYS: e. Histogram f. Frequency polygon g. Relative frequency polygon h. Cumulative relative frequency polygon SOLUTION FOR SD 2-6 C. Minitab Help: Choose GRAPH > HISTOGRAM > SIMPLE In the Dialog Box Select Graph Variable: NEWSYS Click OK Distribution of <a href="/keyword/systolic-blood-pressure/" ><a href="/keyword/systolic-blood/" >systolic blood</a> pressure</a> 140 120 100 Frequency 80 60 40 20 0 10-50 51-100 101-150 151-200 201-250 <a href="/keyword/systolic-blood-pressure/" ><a href="/keyword/systolic-blood/" >systolic blood</a> pressure</a> 251-300 Minitab Help: FOR FREQUENCY POLYGONS, From the menu: STAT > BASIC STATISTICS > STORE DESCRIPTIVE STATISTICS From Dialogue Box Select Variable SYS By Variable: NEWSYS Click statistics: Check Nonmissing and Percent. Remove all other checks. Click OK From the Menu: GRAPH > SCATTERPLOT Select With Connect line Click OK On the scatterplot dialogue: For Y Variable: Select PERCENT1 For X Variable: Select BYVAR1 Click LABELS Click DATA LABELS tab: Select: use Y-value labels Click OK Click OK Percent Relative Frequency Polygon for <a href="/keyword/systolic-blood-pressure/" ><a href="/keyword/systolic-blood/" >systolic blood</a> pressure</a> 70 62.0 60 50 Percent 40 30 20 13.5 20.5 10 0 1.0 2.5 0.5 1 2 3 4 <a href="/keyword/systolic-blood-pressure/" ><a href="/keyword/systolic-blood/" >systolic blood</a> pressure</a> 5 6 D. Using the appropriate graph estimate the following percentiles of the distribution of SYS: SOLUTION FOR SD 2-6 d, E Minitab help: Choose STAT > BASIC STATISTIC > DISPLAY DESCRIPTIVE STATISTICS In the dialog box, Select Variable: serrumchol Select STATISTICS: Check MEAN, FIRST QUARTILE, MEDIAN, THIRD QUARTILE, VARIANCE, RANGE, COEFFICIENT OF VARIATION, STANDARD DEVIATION The three quartiles (Q 1 : 110 , Q 2 : 130, Q 3: 150 ) E. Compute the following quantities Mean : 132.28 Median: 130 Variance: 1085.84 Standard deviation: 32.95
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