Biostatistics Lectures PDF

Faculty of Science Math Department Sohag University Lectures in Biostatistics PREPARED BY MATHEMATICS DEPARTMENT  ‫الرؤية‬ ‫اى تكوى كليت العلوم بجاهعت سوهاج رائد...

Faculty of Science Math Department Sohag University Lectures in Biostatistics PREPARED BY MATHEMATICS DEPARTMENT  ‫الرؤية‬ ‫اى تكوى كليت العلوم بجاهعت سوهاج رائدة في هجاالث التعلين‬ ‫والبحث العلوي وخدهت الوجتوع الوحلي والدولي‪.‬‬ ‫الرسالة‬ ‫تلتزم كليت العلوم بجاهعت سوهاج بتمدين براهح تعليويت العداد خريح‬ ‫هتويز في العلوم االساسيت والتطبيميت يناسب سوق العول وباحثيي ذوى‬ ‫كفاءة عاليت للوساهوت في هجاالث البحث العلوي وخدهاث هجتوعيت لدعن‬ ‫تطبيك هحاور التنويت الوستداهت في ضوء رسالت الجاهعت والوعايير‬ ‫الموهيت للجودة واالعتواد ولين الوجتوع ورؤيت هصر ‪.0202‬‬ Contents: Chapter (1): Introduction to Statistics Objectives of teaching statistics ……………………………...………1 Statistics ………………………………...……………………………1 Descriptive and inferential statistics……………………………….…3 Type of the data…………………………….………………………..3 Histograms …………………………………….…………………….6 Exercises………..………………………………….……………….14 Chapter (2): Measures of Central Tendency Mean……………………………….…………………………..……16 Geometric Mean ……………………………………………………21 Mode…………………………………………………………..……25 Median…………………………….………………………………..26 Quartiles, Deciles and Percentiles ……………………………….…30 Exercises………..……………………………………….………….34 Chapter (3): Measures of dispersion Range…………………………………………………………..……39 Quartile deviation……………………………………………………40 Variance………………………………………………………..……44 Standard deviation………………….………………………………..46 The coefficient of variation ……………………………………....…49 Exercises………..……………………………………….………….50 Chapter (4): Correlation and Simple Regression Pearson correlation………………………………………………….54 Spearman correlation………………………………………………..56 Regression……………………………………………………….…..60 Exercises ………………………………………………………..…..65  Chapter (1) Introduction to Statistics 1 Objectives of teaching statistics Descriptive and inferential statistics Type of the data Histograms Bar graphs Frequency polygons Pie ‫ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ‬ The Objectives of teaching statistics are: 1 To encourage and develop criticall thinking in students in handling real world data preferably of local origin. 2 To make the students learn by conducting experiments, collecting and describing data. 3 To promote understanding of the subject for the purpose of analyzing data and drawing valid inferences. 4 To provide the students sound basic background which would enable them to pursue studies in statics at higher levels. 5 To prepare students for taking up statical jobs in various government/sémi- government/private organization. 6 To expose students with present day tools of angus i.e. computers and packages. Statistics: Statistics is the science of data. This involves collecting, classifying, summarizing, organizing, analyzing, and interpreting data. It also involves model building. Suppose we wish to study household incomes in a certain neighborhood. We may decide to randomly select, say, 50 families end examine their household incomes. As another example, suppose we wish to determine the diameter of a rod, and we take 10 measurements of the diameter. When we consider these two examples, we note that in the first case the population (the household incomes of all families in the neighborhood) really exists, whereas in the second, the population (set of all possible measurements of the diameter) is only conceptual. 2 3 4 5 6 7 8 9 10 11 12 13 Exercises 1- Find class boundaries and midpoints of the following data: 2- Construct ascending cumulative frequency table of the following data: Class Interval 25-29 30-34 35-39 40-44 45-49 50-54 Frequency 5 8 10 13 8 6 3- Construct descending cumulative frequency table of the following data: Class Interval 25-29 30-34 35-39 40-44 45-49 50-54 Frequency 5 8 10 13 8 6 4- Find graphical representation of the following data by using frequency curve : Class Interval 82-89 90-97 98-105 106-113 114-121 122-129 Frequency 2 7 12 15 10 4 5- What is the types of data? 14  Chapter (2) Measures of Central Tendency 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37  Chapter (3) Measures of Variation 38 39 40 41 42 43 44 45 46 47