医学统计学英文课件CHO2-description-of-measurement-data.ppt
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- 医学 统计学 英文 课件 CHO2 description of measurement data
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1、Description of Measurement Data Chapter 2Content1.Frequency distribution 2.Descriptions of central tendency 3.Measures of dispersion 4.Normal distribution 5.Range of reference value Section 1 Frequency Distribution 1、Frequency table:Example 2-1 To acquire the values of total cholesterol in serum of
2、101 healthy female adults as below,and to work out the frequency table.2.35 4.21 3.32 5.35 4.17 4.13 2.78 4.26 3.58 4.34 4.84 4.41 4.78 3.95 3.92 3.58 3.66 4.28 3.26 3.50 2.70 4.61 4.75 2.91 3.91 4.59 4.19 2.68 4.52 4.91 3.18 3.68 4.83 3.87 3.95 3.91 4.15 4.55 4.80 3.41 4.12 3.95 5.08 4.53 3.92 3.58
3、 5.35 3.84 3.60 3.51 4.06 3.07 3.55 4.23 3.57 4.83 3.52 3.84 4.50 3.96 4.50 3.27 4.52 3.19 4.59 3.75 3.98 4.13 4.26 3.63 3.87 5.71 3.30 4.73 4.17 5.13 3.78 4.57 3.80 3.93 3.78 3.99 4.48 4.28 4.06 5.26 5.25 3.98 5.03 3.51 3.86 3.02 3.70 4.33 3.29 3.25 4.15 4.36 4.95 3.00 3.26 Approach:(1).Range:The d
4、ifference between the maximum and the minimum,R.。5.712.353.36(mmol/L)R(2)Class Interval(i):Usually divided into 10-15 groups(3)Group:Lower limit(L):the beginning of every groupUpper limit(U):the end of every group3.36/100.3360.30i Group 2.30 2.60 2.90 3.20 5.605.90 2.302.60(4)Grouping and Counting F
5、requencies LXU2.302.602、Graph of frequency distribution3、Use of frequency table and graph of frequency distribution1Describing the type of frequencies distribution(1)Symmetric distribution:(2)Skewed to the right distribution/Positively skewed distribution (3)Skewed to the left distribution/negativel
6、y skewed distribution2Describing the characteristic of frequencies distribution3.Finding shadiness value4.Convenient for next statistical analysis and managementSection 2 Descriptions of Central Tendency Average in common use:Mean Geometric mean Median1、MeanA descriptive statistic used as a measure
7、of central tendency.All scores in a set of scores are added together and divided by the number of subjects.(1)、Calculate MethodDirect Account:Formula:12nXXXXXnnExample 2-2 To calculate mean of the values of total cholesterol in serum of 100 healthy female adults in direct method.2.35 4.21 3.32 5.35
8、4.17 4.13 2.78 4.26 3.58 4.34 4.84 4.41 4.78 3.95 3.92 3.58 3.66 4.28 3.26 3.50 2.70 4.61 4.75 2.91 3.91 4.59 4.19 2.68 4.52 4.91 3.18 3.68 4.83 3.87 3.95 3.91 4.15 4.55 4.80 3.41 4.12 3.95 5.08 4.53 3.92 3.58 5.35 3.84 3.60 3.51 4.06 3.07 3.55 4.23 3.57 4.83 3.52 3.84 4.50 3.96 4.50 3.27 4.52 3.19
9、4.59 3.75 3.98 4.13 4.26 3.63 3.87 5.71 3.30 4.73 4.17 5.13 3.78 4.57 3.80 3.93 3.78 3.99 4.48 4.28 4.06 5.26 5.25 3.98 5.03 3.51 3.86 3.02 3.70 4.33 3.29 3.25 4.15 4.36 4.95 3.00 3.26 2.354.783.914.03(mmol/L)101XWeighting Method:Formula:112233123kkkfXf Xf Xf Xf XXfffffExample 2-3 Calculate the mean
10、 of values in table 2-1 by weighting methodGroup Frequencies(1)(2)2.30 1 2.60 3 2.90 6 3.20 8 3.50 17 3.80 20 4.10 17 4.40 12 4.70 9 5.00 5 5.30 2 5.605.90 1 Total 101 1 2.45 3 2.751 5.75409.754.06(mmol/L)1 31101X (2)、Application Adapt to describe Symmetric distribution,specially of normal distribut
11、ion data.2、Geometric meanThe geometric mean is simply the average of symmetric values after logarithm transition.(1)、Calculate MethodDirect method Formula:or12nnGX XX1lglg()XGnExample 2-4 To acquire reciprocal titer of sera as below,calculate the geometric mean.10,20,40,40,160510 20 40 40 16034.8G 1
12、1lglg10lg20lg40lg40lg160lg()lg()34.85XGnWeighting methodFormula:1lglg()fXGf(2)、Application:Adapt to data of geometric progression growth,especially of logarithm normal distribution.3、Median and Percentile(1)Median The median is the score/value that is exactly in the middle of a distribution.Formula:
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