Explain descriptive statistics to relate nutrient


Assignment:

With the help of below table solve the following:

Nutrition

The food-frequency questionnaire (FFQ) is an instrument often used in dietary epidemiology to assess consumption of specific foods. A person is asked to write down the number of servings per day typically eaten in the past year of over 100 individual food items. A food- composition table is then used to compute nutrient intakes (protein, fat, etc.) based on aggregating responses for individual foods. The FFQ is inexpensive to administer but is considered less accurate than the diet record (DR) (the gold standard of dietary epidemiology). For the DR, a participant writes down the amount of each specific food eaten over the past week in a food diary and a nutritionist using a special computer program computes nutrient intakes from the food diaries. This is a much more expensive method of dietary recording. To validate the FFQ, 173 nurses participating in the Nurses' Health Study completed 4 weeks of diet recording about equally spaced over a 12- month period and an FFQ at the end of diet recording [11]. Data are presented for saturated fat, total fat, total alcohol consumption, and total caloric intake for both the DR and FFQ. For the DR, average nutrient intakes were computed over the 4 weeks of diet recording.

Q1: Use descriptive statistics to relate nutrient intake for the DR and FFQ. Do you think the FFQ is a reasonably ac-curate approximation to the DR? Why or why not?

Q2) A frequently used method for quantifying dietary intake is in the form of quintiles. Compute quintiles for each nutrient and each method of recording, and relate the nutrient composition for DR and FFQ using the quintile scale. (That is, how does the quintile category based on DR relate to the quintile category based on FFQ for the same individual?) Do you get the same impression about the concordance between DR and FFQ using quintiles as in Problem 2.27, in which raw (ungrouped) nutrient intake is considered? In nutritional epidemiology, it is customary to assess nutrient intake in relation to total caloric intake. One measure used to accomplish this is nutrient density, which is defined as 100% × (caloric intake of a nutrient/ total caloric intake). For fat consumption, 1 g of fat is equivalent to 9 calories.

These are 5x5 tables that you create to show the number of people classified into a particular combination of quintile categories. For each table the rows represent the quintiles of the DR and the columns represent quintiles of the FFQ. Look to see whether there is a weak or strong concordance between the measures and whether there is agreement for the measures.

Variable     Column        Description                Format or Code

Id              1-6              ID number

sfat_dr       8-15         Saturated fat-DR           XXXXX.XX

sfat_ffq     17-24         Saturated fat-FFQ          XXXXX.XX

tfat_dr      26-33         Total fat-DR               XXXXX.XX

tfat_ffq     35-42         Total fat-FFQ              XXXXX.XX

alco_dr      44-51         Alcohol consumption-DR     XXXXX.XX

alco_ffq     53-60         Alcohol consumption-FFQ    XXXXX.XX

cal_dr       62-70         Total calories-DR         XXXXXX.XX

cal_ffq      72-80         Total calories-FFQ        XXXXXX.XX

Id sfat_dr sfat_ffq tfat_dr tfat_ffq alco_dr alco_ffq cal_dr cal_ffq
100396 33.2 21.2 81.15 53.8 8.26 1.68 1807 1242.2
100566 17.73 10.6 53.28 36.6 0.83 0 1418 907
107633 38.73 23.8 83.48 47.2 20.13 15.1 1889 786
107737 21.57 22.7 49.65 55.3 11.16 7.49 1426 1392.5
107744 21.35 30.4 55.18 71 7.18 12.84 1253 1259.8
107813 28.04 15.1 73.83 41.1 1.76 0 1699 987.1
107825 23.17 17.8 68.29 49.1 22.66 25.06 1700 1189.9
107879 19.73 19.1 58.3 48.9 0 0 1369 1364.1
108618 36.31 23.4 92.58 55.4 0 0 2163 1311.4
109000 20.87 16 68.44 44.2 0 0 1609 1200.6
109259 26.4 19.4 69.16 46.6 4.75 1.06 1704 1227.4
109565 28.26 27.4 79.42 59.7 4.57 1.81 1884 1448.1
109856 19.81 15.8 69.59 50.5 15.12 11.14 1518 1367.7
109885 23.48 19.9 65.86 55.6 5.37 2.57 1450 1154.4
109908 25.62 17.4 74.22 51.7 0 0 1702 1217.7
110108 23.59 9.5 63.44 23.4 1.89 0.76 1400 483.4
110360 14.6 20.9 38.14 46.9 0.78 5.7 910 1056.5
110406 20.71 27.7 49.77 70.1 8.09 10.56 1332 1265.3
110419 28.63 15.3 80.73 35.3 37.9 35.34 1947 890.1
110483 18.12 20.7 53.56 55.7 2.22 0.76 1428 1378.5
110579 16.93 17.6 52.75 51.5 20.69 18.22 1557 1317.5
110714 25.1 18.9 80.15 57.5 0 0 1788 1257.5
111040 14.04 14.9 39.4 37 2.62 1.68 1098 1087.8
111220 21.98 32.6 54.91 73.2 9.49 6.49 1362 1589.6
111536 24.83 24 67.73 63.1 9.69 16.72 1562 1422.7
111538 20.72 15.6 55.24 47.6 0.95 1.51 1286 1569.6
111799 24.61 24.2 68.11 54.4 3 2.74 1529 1386
111970 32.03 38.2 71.02 98.8 37.28 45.08 1810 2220
112071 23.49 18.8 63.72 55.8 21.78 33.49 1606 1291.4
112087 25.69 23.5 67.99 68 15.41 12.91 1363 1102
112163 23.65 21.3 64.61 46.8 7.85 0.76 1457 943.2
112226 23.45 13.9 60.13 31.8 0.39 0 1233 731.4
112650 46.36 33.3 104.91 88.1 29.81 64.75 2285 1878.9
112738 16.04 17.6 44.23 40.6 0 0 1183 1326.6
112812 38.68 17.8 98.14 55.8 6.77 2.57 2176 1635.4
112862 24.1 15.9 64.21 41.5 5.97 2.74 1587 1035.5
112896 27.92 16.7 91.37 53.5 0.85 0 2029 1548.3
112982 26.26 24.1 70.44 61.9 5.23 5.7 1484 1376.3
113429 26.46 21 76.06 57.7 2.26 2.11 1685 1460.5
113436 22.02 19.5 61.13 63.8 7.79 1.06 1440 1970.2
113441 24.51 25.9 62.6 60.7 7.75 11.14 1293 1350.3
113525 20.06 16.1 55.5 49.9 10.86 10.75 1433 1326.3
113613 34.14 38.5 93.04 93.5 22.44 11.38 2333 2253.5
113882 24.38 18.2 67.02 48.7 4.49 12.06 1402 1139.9
114053 14.38 5.6 41.09 14.8 5.2 4.55 923 463.2
114129 17.74 15.2 54.07 48.4 0.38 0.76 1330 1498.4
114353 27.83 16.5 78.26 36.7 5.17 3.79 1731 946.7
114865 29.17 24.8 84.52 71.1 0 0 1636 1396.7
115013 15.94 12.8 45.89 38 22.89 8.64 1311 1078.4
115223 28.33 27.2 75.96 88.4 2.93 0.76 1769 1996.8
115399 15.18 11.6 49.44 30.7 0.05 0 1481 1051.9
115512 22.51 31.2 68.28 78.7 4.75 5.7 1649 2100.3
115601 46.01 17.4 119.83 49.5 10.12 5.57 2334 988.7
115724 27.15 16.9 80.54 37.7 17.9 8.93 1823 1025.7
115764 25.47 15.8 75.54 41.6 0 1.81 1548 1259.6
115806 27.99 17.5 69.13 40.7 3.35 0.76 1456 825.1
115822 25.28 17 68.36 48.6 10.04 2.87 1535 1047
115875 26.58 14.8 77.83 40.1 17.27 15.86 1718 726.9
115879 28.72 35.8 74.26 76 0 0 1641 1961.6
116007 24.62 34.6 66.12 66 8.15 13.76 1402 1434.4
116164 26.46 18 78.2 48.8 27.55 34.42 2143 1464.4
116263 29.57 14.4 69.8 33.5 0.6 0 1490 768.7
116413 20.39 23.7 48.85 56.5 22.31 12.06 1221 1698.5
116461 14.68 13.6 52.24 40.3 4.4 2.11 1255 758.3
116528 23.43 25.6 71.16 62.4 1.99 0.76 1555 1462
129518 20.74 23.7 61.82 68.8 0 0 1374 1592.4
129729 21.76 19.3 63.73 56.3 0.38 0 1593 1661.5
129732 21.58 13.8 64.25 40.9 0.8 1.81 1491 1249.3
129743 39.3 32.7 109.83 78.5 0.14 0.76 2505 2282.1
129765 21.95 21 59.74 52.9 12.03 10.75 1560 1152.1
129813 21.9 11.9 67.87 38.3 10.35 3.63 1661 979.9
130757 28.65 13.6 78.99 41 5.84 0.76 1742 1253
130786 30.01 33.4 79.13 82.8 17.22 12.99 1680 1799.2
130793 29.35 23.9 98.96 75.6 5.97 4.64 2096 1873.2
130847 21.56 8.8 72.02 34.6 2.79 0 1438 811.8
130863 18.83 40.6 54.78 100 20.5 37.75 1325 1940.4
131023 36.16 18.5 100.56 52.6 8.65 4.55 2051 1219.8
131100 31.2 29.3 92.12 70.5 10.41 16.72 2050 1644.5
131126 29.06 23.5 80.52 67.9 7.12 6.76 1707 1933.5
131129 21.79 14.6 68.42 45.2 12.97 16.06 1502 1120.8
132293 29.6 30.3 70.98 78.9 8.75 4.64 1691 1470.5
132303 12.71 12.1 35.9 32.3 3.45 1.51 940 842.3
132316 22.16 14.8 70.33 45.6 3.11 0.76 1591 1156.4
132327 22.61 13.8 65.19 34.6 2.69 0.76 1769 1539.8
132328 27.08 18.8 70.95 43.7 49.15 27.75 2054 1330.9
132361 17.92 15.2 49.72 41.9 0.57 0 1514 1509.9
132382 31.41 30.4 90.21 74.1 31.26 11.14 1989 1506.5
132390 33.25 25.8 87.69 73.9 11.13 11.38 1968 1795.5
132426 32.19 54.9 86.35 133.5 4.67 2.87 1781 2263.5
132621 25.17 7.5 70.2 18.4 15.69 11.14 1761 513.6
132622 34.34 19 86.68 44.7 23.44 43.75 1639 1124.7
132624 25.11 24.2 69.86 63.1 4.6 16.72 1445 1340.3
132638 45.31 47.1 106.4 93.8 0.03 0 2260 2047.8
132662 18.59 12.5 45.37 29.5 19.38 29.92 1107 811.1
133002 28.34 35.5 71.45 80 0.77 0 1878 2136
133079 18.75 11.8 60.54 36.4 8.49 7.25 1612 1251.2
133094 24.37 39 67.73 109.3 0.79 0 1669 3077.3
133317 18.33 19.1 64.53 56.1 11.15 6.63 1533 1415.3
133372 17.26 20 42.53 41.4 13.11 12.84 1149 1055.8
133443 16.73 57.4 54.07 119 0 0 1555 2691
133497 24.78 11.8 73.18 28 0 0 1470 662.4
133507 16.74 5.7 54.84 16.5 4.17 2.57 1620 932.5
133533 15.3 17.1 51.96 41.4 6.68 3.63 1122 1100.2
133606 27.74 26.6 82.71 70.9 0.4 0.76 1994 1530.5
133615 26.4 14.8 80.64 40.8 1.58 0.76 1940 902.4
133637 26.76 20.4 70.67 47 3.44 0 1472 954.2
133676 17.73 19.4 52.62 55.1 3.7 3.79 1388 1504.7
133692 25.97 24.3 65.65 52 4.88 1.98 1683 1333.6
133833 18.57 14 53.18 37.4 7.31 4.64 1226 798.2
133925 26.48 17.3 72.45 37.9 25.74 28.06 1679 912.3
133987 26.98 23.2 64.35 60.9 32.64 28.85 1583 1210.5
134013 33.26 27.6 80.79 62.3 1.14 2.57 2229 1637.1
134021 19.03 11.2 47.56 29 0.9 0 1321 1254.6
134047 16 13.6 49.35 37.7 2.25 0 1162 1046.1
134103 27.59 17 72.49 34.8 16.61 10.8 1761 1009.6
134119 22.32 13.2 64.53 31 1.27 1.85 1376 730.6
134129 26.83 19.9 77.98 49.5 2.2 1.06 1689 1130.7
134144 36.44 36.8 94.53 89.3 16.51 11.86 2010 1870.1
134223 26.25 43.4 73.74 89.8 6.92 10.32 1815 2425.4
134350 30.92 20.2 82.98 51.8 17.76 15.86 1779 1187.8
134385 27.5 9.8 74.55 25.5 1.84 0.76 2038 782.3
134431 34.25 18.8 77.12 41.9 40.11 46.39 1973 1187.9
134486 23.79 28.7 62.49 67.8 32.72 56.39 1870 2166.6
134495 23.56 36.9 72.11 105 1.89 2.57 1936 2497
134519 20.46 7.5 58.42 21.1 27.86 43.32 1619 757.5
134550 24.16 21.8 69.11 60.4 13.62 19.74 1757 1297.6
134553 23.42 31.5 72.08 90.4 9.92 7.55 1582 1837.6
134566 26.4 14.5 72.99 36.1 5.04 4.64 1670 956.9
134598 24.09 14.9 61.17 35.2 12.95 9.3 1454 878.4
134611 25.25 20.5 56.16 42.6 9.43 12.08 1616 1144.2
134622 23.34 41.1 66.51 113.2 0 0 1371 2921.6
134835 16.61 21.6 49.65 56.8 27.26 27 1388 1227.6
134838 39.36 22.7 99.1 45.8 18.69 39.26 2425 891.8
134839 23.66 18.3 55.86 41 28.28 25.9 1280 842.6
134845 40.59 48.4 108.72 107.5 6.99 6.63 2376 2539.5
135002 34.04 37.4 82.11 91.1 0 0 1885 2389.5
135009 18.94 37 56.34 90.7 12.48 12.91 1302 1713.9
135026 21.41 23.4 52.2 60.2 4.21 4.42 1016 936.6
135126 18 24.1 46.44 61.2 12.18 11.86 963 1307.6
135130 21.04 24.8 58.92 67 0 0 1501 1466.6
135146 11.82 11.5 38.59 28.9 2.18 0.76 1026 991.7
135172 27.39 20.8 79.63 58.1 1.76 0 1820 1532.9
135182 34.61 34.3 98.94 104.6 2.17 2.87 2087 2279.8
135201 19.79 22.6 57.7 62.1 1.43 4.64 1299 1228.1
135258 21.34 16.7 57.3 33.9 14.23 6.76 1524 854.3
135262 18.79 25.7 57.33 76.6 1.39 2.87 1450 1975.8
135313 18.63 6.6 61.11 20.7 2.98 5.7 1340 601.1
135324 20.39 16.9 62.54 48 3.77 1.06 1634 1140.4
135330 18.64 14.9 53.56 44.2 8.1 11.14 1608 1520.6
135351 15.39 12.1 50.4 33.7 13.79 5.57 1649 922.9
135372 31.35 24.9 91.65 72.8 28.29 39.26 2013 1394.8
135391 23.62 23.3 62.62 59.3 15.6 10.75 1626 1706.9
135465 27.51 42.8 81.29 112.3 6.97 6.63 1732 2447.5
135472 41.01 18.3 114.85 41.7 0 0 2518 1323.7
135488 15.99 20.6 48.25 50.2 8.18 6.63 1561 1399.8
135530 17.48 18.8 50.43 46.5 0.51 0 1485 1739.3
135547 31.35 35.3 76.92 75.1 7.82 12.08 1767 1627.5
135559 17.64 17.8 45.39 38.5 6.6 11.14 1006 922.5
135588 39.43 26.4 98.34 77.9 28.79 52.07 2085 1602.7
135596 30.98 28.8 73.8 70.3 3.82 1.81 1588 1570.3
135619 32.86 41.2 84.85 92.5 0 0 1682 2074.9
135769 26.24 26.4 72.73 60.7 8.31 2.91 2121 2039.1
135829 20.07 25.9 65.41 87.6 8.22 13.76 1568 1958.8
135834 14.42 11.3 40.64 29.6 0.96 0.76 1216 1043.6
135848 29.59 29.9 71.41 67.6 0.63 0 1612 1327.6
135869 28.02 15.5 77.82 40.5 15.72 16.81 1827 1026.9
136104 25.85 23.7 70.89 75 23.97 12.43 1721 1584.6
136377 20.2 20.3 51.99 52 7.28 6.63 1467 1342.4
136378 36.19 18.1 95.43 47.1 4.6 7.25 1976 1204.3
136407 22.42 10.9 62.15 32 2.56 1.81 1731 981.6
136421 16.98 20.4 42.85 47.5 13.91 8.64 1033 1128.3
137461 23.98 18.5 67.43 45.9 5.39 7.19 1585 1247.5
184093 21.39 19 56.7 40.4 0.6 3.49 1320 994

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Basic Statistics: Explain descriptive statistics to relate nutrient
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