Download Applied Statistics for Social and Management Sciences by Abdul Quader Miah PDF

By Abdul Quader Miah

This publication addresses the applying of statistical suggestions and strategies throughout quite a lot of disciplines. whereas its major concentration is at the software of statistical equipment, theoretical points also are supplied as primary historical past info. It deals a scientific interpretation of effects frequently stumbled on generally descriptions of equipment and strategies resembling linear and non-linear regression. SPSS is additionally utilized in all of the program features. The presentation of information within the kind of tables and graphs during the e-book not just publications clients, but additionally explains the statistical software and assists readers in reading vital gains. The research of statistical facts is gifted regularly in the course of the textual content. educational researchers, practitioners and different clients who paintings with statistical facts will reap the benefits of examining utilized facts for Social and administration Sciences.

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The median has the property that half the scores are less than (or equal to) the median and half the scores are greater than (or equal to) the median. If n is odd, the middle value is one. So position of Md is at (n + 1)/2. If n is even, there are two mid-values. Md lies halfway in between these two values. Examples 9 The following two sets of observations (ungrouped) show how to calculate the median. 1 Central Tendency 39 (continued) (1) (2) 525 608 719 1090 2059 4000 6000 No. of cases = 9 Md = 719 525 608 719 1090 2059 4000 No.

To construct a stem-and-leaf diagram, each number xi is divided into two parts: a stem, consisting of one or more of the leading digits, and a leaf, consisting of the remaining digits. Example 7 The data in crushing strength of bricks example are used to construct the stem-and-leaf diagram. The observations range from 126 to 296. So the values 12, 13, 14, … 29 are selected as stems. The resulting diagrams are shown in Figs. 5. 52 3 Descriptive Statistics Stem 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Total Leaf f 1 1 1 3 3 4 6 7 10 21 14 9 8 5 2 2 2 1 100 6 7 7 5, 8, 0 5, 4, 0 0, 8, 3, 1 4, 1, 5, 5, 5, 1 3, 2, 2, 6, 8, 5, 8 8, 0, 4, 3, 8, 0, 4, 0, 7, 1 5, 3, 8, 0, 7, 5, 4, 0, 7, 5, 0, 4, 9, 3, 5, 5, 2, 1, 0, 5, 9 4, 6, 2, 7, 6, 2, 1, 4, 4, 8, 4, 5, 8, 0 6, 1, 0, 1, 3, 3, 0, 7, 3 9, 9, 8, 3, 4, 6, 0, 8 7, 0, 8, 0, 1 8, 7 1, 8 4, 7 6 Fig.

If (n + 1) is not an integer multiple of 4, then the quartiles are to be found out by interpolation. Look at the following two examples. 2 Measures of Dispersion 45 (continued) (1) (2) 500 ⇒ Q3 490 447 445 ⇒ Q2 441 438 435 ⇒ Q1 430 420 445 440 438 432 428 420 For set 1: Range = 515 − 420 = 95 Location of Q1 = (n + 1)/4 = (11 + 1)/4 = 3; So Q1 = third observation = 435; Location of Q2 = (n + 1)/2 = (11 + 1)/2 = 6; So Q2 = sixth observation = 445 Location of Q3 = 3(n + 1)/4 = 3(11 + 1)/4 = 9; So Q3 = ninth observation = 500 IQR = Q3 − Q1 = 500 − 435 = 65 For set 2: Range ¼ 450 À 420 ¼ 30 Location of Q1 ¼ ðn þ 1Þ=4 ¼ ð8 þ 1Þ=4 ¼ 2:25 So Q1 ¼ 2nd þ 0:25 from 428 to 432 ¼ 428 þ 0:25 Ã ð432 À 428Þ ¼ 428 þ 1:0 ¼ 429 Location of Q2 ¼ ðn þ 1Þ=2 ¼ ð8 þ 1Þ=2 ¼ 4:5; So Q2 ¼ 4th þ 0:50 from 4th to 5th ¼ 438 þ 0:50 Ã ð440 À 438Þ ¼ 438 þ 1 ¼ 439 Location of Q3 ¼ 3ðn þ 1Þ=4 ¼ 3ð8 þ 1Þ=4 ¼ 6:75; So Q3 ¼ 6th þ 0:75 from 6th to 7th ¼ 445 þ 0:75 Ã ð449 À 445Þ ¼ 445 þ 3 ¼ 448 Interquartile Range ¼ Q3 À Q1 ¼ 448 À 429 ¼ 19 46 3 Descriptive Statistics For grouped data the same rule as given for the median may be used to calculate Q1 and Q3.

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