An Adventure In Statistics The Reality Enigma – Andy Field

‘Interesting …,’ he said. I was confused. I thought back to meeting Celia and Nutcot and although I could picture the conversation, I was sure that we hadn’t touched on the code 1318 workers at all. The more I tried to remember, the more the phrase code 1318 cycled in my mind. Nothing came to me, nothing – and then something did and it turned me cold. Robust estimation www.ebook3000.com Bias corrected and accelerated (BCa) Mixed normal distribution confidence intervals Percentile bootstrap confidence interval Bootstrap Robust estimation Bootstrap samples Trimmed data Contaminated normal distribution Trimmed mean M-estimator Winsorizing What is a robust estimate?

What is the difference between trimming data and winsorizing it? Zach randomly selected 10 scores from the professional services non- employees (see Figure 9.1): 14, 15, 13, 11, 16, 13, 21, 12, 11, 15. Calculate the mean, the 20% trimmed mean, the 10% trimmed mean, and the 20% winsorized mean. Square-root transform the above scores. Table 9.3 Scientists’ strength scores for JIG:SAW employees and non- employees (see Figure 9.1) 1161, 1141, 1174, 1112, 1185, 1095, 1102, 1112, 1071, 1244, 1102, 1216, 1884, 1276, 1373, 1145, 1169, 1136, 1313, 1129, 1119, 1197, 1111, 1121, 1274, 1197, 1139, 1233, 1334, 1150, 1138, 1185, 1158, 1445, 1525, 1408, 1128, 1723 Non-employees 1321, 1153, 1072, 1218, 1088, 1373, 1135, 1055, 1096, 1007, 1223, 1291, 1171, 1101 2091, 1308, 1141, 1433, 1141, 1212, 1769, 1071, 1412, 1214, 1031, 1209, 1222, 1241, 1740, 1367, 1313, 1208, 1257, 1376, 1155, 1065, 1147, 1166, 1566, 1436 JIG:SAW’s Puzzles 5 Using the data in Table 9.3, what was the mean strength of scientists in both the JIG:SAW group and the non-employees?

6 Using the data in Table 9.3, what was the 20% trimmed mean strength of scientists in both the JIG:SAW group and the non-employees? 7 Using the data in Table 9.3, what was the 20% winsorized mean strength of scientists in both the JIG:SAW group and non-employees? 8 Using your answers above, how do the robust estimates of the mean differ from those based on the raw data?

9 Log-transform the JIG:SAW data from Table 9.3. 10 Describe the process of bootstrapping.

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