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http://cc.jlu.edu.cn/ms.html. Medical Statistics. Practice 1. Tao Yuchun. Review. I. Basic concepts. 1. Population and Sample. Randomization. 2. Probability and Frequency. 3. Parameter and Statistic. II. Types of data. 1. Numerical Variable ( Measurement Data ).
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http://cc.jlu.edu.cn/ms.html Medical Statistics Practice 1 Tao Yuchun
Review I.Basic concepts 1. Population and Sample • Randomization 2. Probability and Frequency 3. Parameter and Statistic
II. Types of data 1. Numerical Variable (Measurement Data) • quantitatively 2. Categorical Variable (Enumeration Data) • qualitatively • Nominal Variable • Count Data 3. Ordinal variable ( Rank data )
III. The Basic Steps of Statistical Work 1. Design of study 2. Collection of data 3.Data Sorting 4. Data Analysis • Descriptive statistics • Inferential statistics
(1)Steps of establishing a frequency table IV. Statistical Description for Measurement Data 1.1 Frequency Distribution (2) Frequency plot ---histogram (3)The use of frequency table • central tendency • measure of dispersion
1.2 Measures for Average ★ (1)Arithmetic Mean (mean) μ • Suitable to symmetric distribution.
(2)Geometric Mean (G) • lg-1=10x • Suitable to positive skew distribution, like geometric progression.
(3)Median (M) a. For raw data • Ranking the data, finding the middle value. For odd number, it is; for even number, it is mean of two middle values. b. For frequency table • Suitable to all kinds of data, but usually to positive skew distribution.
Add:Percentile --- Px • Positive skew • Symmetric 1.3 Measures for variability ★ (1)Range (R) R = Maximum - Minimum • Suitable to all kinds of data, but no useful.
(2)InterQuartile Range (IQR) • Suitable to all kinds of data, but usually skew distribution. (3)Variance and Standard Deviation (S2 and S)
Suitable to symmetric distribution. (4)Coefficient of Variation (CV) • Comparison of the variation of two variables with different dimensionsorbigger difference of means .
Calculative tools I.Scientific calculator • The scientific calculator with statistical function. (like CASIO fx-3600PV or CASIO fx-82TL) • Calculative method is often: Input all raw data, press the special button under statistical mode, you will get the result (like , S) directly.
II. Excel ★ • Many statisticalfunction. • The macro of statistical analysis tool. • Using any expression directly. • Many statisticalgraphs. • See the example (stat1(English).xls)
III. Statistical software • Professional statisticalanalysis tool. • The special data management and statisticalanalysis procedure. • The special executive commands. • Include almost all statisticalmethods. • SAS, SPSS, Stata, BDMP, … • If you want use it, you should have to learn another lesson.
Practice in class Exercise 1: theblood-glucose(mmol/L) values from 12 randomly selected patients. 5.31, 6.12, 6.53, 6.53, 6.65, 6.66, 6.71, 6.93, 7.05, 7.15, 7.21, 7.35 Please calculate the arithmetic mean, geometric mean and median; range, quartile range and standard deviation.
Exercise 2: thefrequency tableoflatent period (day) from 110 certain infectious disease patients.
1) Please calculate the arithmetic mean, geometric mean and median, which one better reflects the average level ? 2) Please calculate the range, quartile range and standard deviation, which one better reflects thevariation ? Answer • See the Excel file (practice1key.xls)
Homework There are raw data of temperature(℃)for 102 female students from certain college(see below). 37.05 36.90 37.20 37.10 37.00 36.85 36.85 37.40 37.05 36.85 37.20 37.00 37.00 36.90 36.85 37.15 37.10 36.80 37.40 37.40 37.30 37.40 37.25 37.10 37.10 36.85 36.80 37.05 37.00 36.90 37.35 37.25 36.95 37.05 36.80 37.15 37.05 37.15 37.15 37.25 37.50 37.00 37.35 37.05 37.10 37.00 37.05 37.35 37.10 37.10 37.25 37.20 36.95 37.00 37.10 37.00 36.90 37.05 37.00 36.90 36.55 36.80 37.05 36.60 37.05 37.20 36.70 37.20 36.90 37.30 36.85 36.70 37.15 37.10 37.05 36.95 37.25 36.90 37.05 36.75 36.90 36.85 36.70 36.95 37.15 36.90 37.05 36.90 37.35 37.05 37.05 37.00 37.35 37.10 37.20 36.65 36.65 36.90 36.95 36.90 36.70 36.80
1) Please work out a frequency table and a histogram. 2) Please calculate the arithmetic mean, median, quartile range, standard deviation and coefficient of variation. C (http://en.wikipedia.org/wiki/Great_Wall_of_China)