By Daryl S. Paulson

ISBN-10: 0824740858

ISBN-13: 9780824740856

ISBN-10: 0824756401

ISBN-13: 9780824756406

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120, and has the added advantage of compensating for sample sizes that are much Basic Review of Parametric Statistics 33 FIGURE 7 Comparison of the relative frequency curves of the standard normal distribution (Z table) and Student’s t-distribution. smaller [1,3]. It does this by extending the tails of the sample distribution (see Fig. 7), making it more conservative, lowering the probability of a error. XI. INTRODUCTION TO STATISTICAL INFERENCE In 1954, the largest medically related statistical investigation ever performed up to that time was conducted.

Step1. The researcher has some £exibility here. 305, there are a number of ways to present it. ‘‘Stem’’ leading component ‘‘Leaf’’ trailing component 4 3 or 43 0 or 430 5 The number of digits assigned to the stem portion is arbitary. However, the leaf portion contains only one digit, and that is the digit immediately following the last stem digit. 305 is truncated or dropped, giving Stem 4 Leaf 3 Taking the data batch from Table 1 as an example, we will now construct the stem-and-leaf display, shown in Fig.

Formulate the decision rule. Find the tabled critical values for a two-sided t-test at level a with df degrees of freedom. Call these critical values Æ tt (Fig. 14). Note that, if the sample sizes are not equal, the smaller of the samples, minus 1, is used; in this case, 36 À 1 ¼ 35 df. Decision rule: If tc (t calculated) is greater than tt or less than Àtt , reject H0 . Basic Review of Parametric Statistics 47 Step 5. Perform the calculations. 86:3À92:4 À6:1 À6:1 ¼À2:05 tc ¼ qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ ¼ pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ ¼ 2:97 2:89þ5:929 2 2 ð10:2Þ =36þð15:4Þ =40 tt with 35 df ¼2:030 Step 6.

### Applied Statistical Designs for the Researcher (Biostatistics) by Daryl S. Paulson

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