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CROSS TABLES TWO AND MULTIWAY GRAPHS

CROSS TABLES TWO AND MULTIWAY GRAPHS. MARGINAL TABLE. Marginal table gives us the distribution of n observations among classes or subgroups of a single variable. Example. The distribution of 60 infants according to their birthweights. CROSS TABLE.

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CROSS TABLES TWO AND MULTIWAY GRAPHS

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  1. CROSS TABLES TWO AND MULTIWAY GRAPHS

  2. MARGINAL TABLE Marginal table gives us the distribution of n observations among classes or subgroups of a single variable.

  3. Example The distribution of 60 infants according to their birthweights

  4. CROSS TABLE Cross table gives us the distribution of n observations among classes or subgroups of two or more variables simultaneously. Cross table shows the relationship between these variables if it exists.

  5. In these tables, generally there are two kinds of variables • Dependent (output)variable • Independent (input)variable The easiest way to identify the independent variable and dependent variable is to ask the question Which variable depends on which?

  6. BWT History of hypertansion <2500 >=2500 Total Not present 4 40 44 Present 10 6 16 Total 14 46 60

  7. BWT <2500 >=2500 Total History of hypertansion Count % Count % Count % Not present 4 9,1 40 90,9 44 100,0 Present 10 62,5 6 37,5 16 100,0 Total 14 23,3 46 76,7 60 100,0

  8. 100 <2500 86 80 >=2500 Percent 60 63 40 37 20 14 100 86 63 <2500 0 Not smoking Smoking >=2500 80 Percent 60 40 37 20 14 0 Not smoking Smoking

  9. BWT History of hypertansion N Min Max Mean Std. Dev. Not present 44 2300 4990 3349,3 638,5 Present 16 1588 4360 2550,0 754,9 Total 60 1588 4990 3136,1 754,4

  10. 6000 5000 13 4000 BWT 3000 2000 1000 N = 36 24 Not smoking Smoking SMOKE

  11. 5000 4000 MEAN±1SD 3000 2000 N = 36 24 Not smoking Smoking SMOKE

  12. 6000 5000 4000 BWT 3000 2000 1000 Nonsmoking Smoking SMOKE

  13. BWT <2500 >=2500 Total SMOKE History of hypertansion Count % Count % Count % Not smoking Not present 2 6,7 28 93,3 30 100,0 Present 3 50,0 3 50,0 6 100,0 Total 5 13,9 31 86,1 36 100,0 Smoking Not present 2 14,3 12 85,7 14 100,0 Present 7 70,0 3 30,0 10 100,0 Total 9 37,5 15 62,5 24 100,0

  14. BWT History of hypertansion SMOKE N Minimum Maximum Mean Std. Dev. Not smoking Not present 30 2300 4990 3458,0 647,4 Present 6 1588 4360 2872,5 1097,4 Total 36 1588 4990 3360,4 753,9 Smoking Not present 14 2410 4250 3116,2 572,5 Present 10 1790 2960 2356,5 412,0 Total 24 1790 4250 2799,7 630,9 Total Not present- 44 2300 4990 3349,3 638,5 Present 16 1588 4360 2550,0 754,9 Total 60 1588 4990 3136,1 754,4

  15. History of hypertans 5000 6000 History of hypertans - 5000 - 4000 + + 4000 3000 BWT Mean ±1 SD 3000 2000 2000 1000 1000 N = 30 6 14 10 N = 30 6 14 10 Not smoking Smoking Not smoking Smoking SMOKE 6000 3600 SMOKE 3458 3400 5000 3200 4000 3116 Mean BWT 3000 BWT 2873 2800 3000 History of hypertans History of hypertans 2600 2000 2400 + - 2357 1000 - 2200 + Smoking Not smoking Smoking Not smoking SMOKE SMOKE

  16. Population, Turkey in 1965 and 1995 1965 1995 Age Male Female Male Female 0-4 14,7 14,7 10,6 10,5 5-9 15,1 14,6 10,6 10,3 10-14 12,9 11,7 10,9 10,6 15-19 9,7 8,9 10,8 10,6 20-24 7,6 7,4 9,8 9,6 25-29 6,6 7,6 8,5 8,4 30-34 7,1 7,4 8,1 7,9 35-39 6,3 6,1 7 6,8 40-44 4,4 4,4 5,8 5,6 45-49 2,8 2,8 4,6 4,5 50-54 3,8 3,8 3,4 3,6 55-59 2,8 2,7 2,9 3,2 60-64 2,8 3,3 2,8 3,0 65-69 1,6 1,8 2,1 2,5 70-74 0,9 1,4 1,2 1,4 75+ 0,9 1,4 1 1,4

  17. Age 75+ 70-74 65-69 60-64 55-59 50-54 45-49 40-44 35-39 30-34 25-29 20-24 15-19 10-14 5-9 0-4 Female Male 15 12 9 6 3 0 0 3 6 9 12 15 % % Population Pyramid of Turkey, 1965

  18. Age 75+ 70-74 65-69 60-64 55-59 50-54 45-49 40-44 35-39 30-34 25-29 20-24 15-19 10-14 5-9 0-4 Male female 0 3 6 9 12 12 9 6 3 0 % % Population Pyramid of Turkey, 1995

  19. Age 75+ 70-74 65-69 60-64 55-59 50-54 45-49 40-44 35-39 30-34 25-29 20-24 15-19 10-14 5-9 0-4 Male female Female Male Age 75+ 70-74 65-69 60-64 55-59 50-54 45-49 40-44 35-39 30-34 25-29 20-24 15-19 10-14 5-9 0-4 0 3 6 9 12 12 9 6 3 0 15 12 9 6 3 0 0 3 6 9 12 15 % % % % Population Pyramid of Turkey, 1965 Population Pyramid of Turkey, 1995

  20. SCATTER PLOT Scatter plots illustrate the relationship between two characteristics when both are measured on a numerical scale. The characteristic hypothesized to explain or predict or the one that occurs first (independent) is placed on x-axis. The characteristic or outcome to be explained or predicted or one that occurs second (dependent) is placed on y-axis. Each observation is represented by a small circle.

  21. ExampleAges and sistolic blood pressures of 10 patients are given in the following table:

  22. 110 100 90 SBP 80 70 60 30 40 50 60 70 80 AGE y=68 x=48

  23. 6000 5000 4000 BWT 3000 2000 SMOKE 1000 10 20 30 40 50 6000 Smoking Not smoking AGE 5000 4000 BWT 3000 2000 1000 10 20 30 40 50 AGE

  24. SCATTER PLOT MATRIX Y X1 X2

  25. HEAD CIRCUMFERENCE FOR AGE- GIRLS (TURKEY) Head Circumference Head Circumference AGE (MONTHS)

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