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The Nature of Probability and Statistics Lecture (1) Lecturer : FATEN AL-HUSSAIN.

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1 The Nature of Probability and Statistics Lecture (1) Lecturer : FATEN AL-HUSSAIN

2 Note: This PowerPoint is only a summary and your main source should be the book. Introduction  Statistics: is the science of conducting studies to collect, organize, summarize, analyze, and draw conclusions from data.

3 Note: This PowerPoint is only a summary and your main source should be the book.  A Variable  A Variable: is characteristic or attribute that can assume different values.  Data:  Data: are the values (measurements or observations)that the variables can assume.  Random Variable:  Random Variable: variables whose determined by chance. Data set  Data set : Collection of data values.  Datum Or a data value  Datum Or a data value Each value in the data set 1-1 Descriptive and Inferential Statistics

4 idgenderage 1male 20 2male 25 3female 30 4male 23 5female 30 For example: A data set in table Variables Note: This PowerPoint is only a summary and your main source should be the book. Nationality Saudi Yemeni Egypt Jordanian Lebanese Data Set Data Data value

5 PopulationSample Note: This PowerPoint is only a summary and your main source should be the book.

6 For example : In order to study the response times for emergency 988 calls in Jeddah 50 calls are selected randomly over a six month period and the response times are recorded. Population : all calls 988. Sample : 50 calls. Note: This PowerPoint is only a summary and your main source should be the book.  A population consists of all subjects (human or otherwise) that are studied.  A sample is a subset of the population( is a group selected from a population).

7 Branches of Statistics Descriptive statistic Inferential statistic consists of the collection, organization, summarization, and presentation of data. For example : -the average age of the student is 14 years. -the median household income for people aged 25-34 is 35.888$. consists of generalizing from samples to populations, performing estimations and hypothesis tests, determining relationships among variables, and making predictions. For example:  the relationship between smoking and lung cancer.  probability. Note: This PowerPoint is only a summary and your main source should be the book.

8 A researcher asked 80 students at KAU about their weight. As a result of this information, the average weight of students at KAU was 59kg. Which branch of statistics was used in this survey? a) Observational b) Experimental c) Inferential d) Descriptive Answer : d Note: This PowerPoint is only a summary and your main source should be the book.

9 "There is a relationship between IQ tests and the final score student" Which branch of statistics is a)Observational b)Experimental c)Inferential d)Descriptive Answer : c Note: This PowerPoint is only a summary and your main source should be the book.

10 Variables and Types of Data,Measurement Scales Lecture (2) Lecturer : FATEN AL-HUSSAIN

11 Note: This PowerPoint is only a summary and your main source should be the book. Variables and Types of Data Variables Qualitative Categorical Non numerical Quantitative Numerical Discrete Countable 5, 29, 8000, etc. Continuous Can be decimals 2.59, 312.1, etc.

12 Note: This PowerPoint is only a summary and your main source should be the book. are variables that have distinct categories, according to some characteristic or attribute. For example: Gender,Marital status,Color……etc are variables that can be counted or measured. For example: Age,Height, Weight,temperature …..etc Types of Variables Qualitative Variables: Quantitative variables

13 Note: This PowerPoint is only a summary and your main source should be the book. Discrete Variables Continuous Variables Quantitative variables classified into two groups assume values that can be counted. For example:  Number of children in a family,  Number of student in classroom,  Number of DVDs rented each day ……etc assume an infinite number of values between any two specific values. For example:  Temperature,  Height  Weight  Time …..etc

14 Note: This PowerPoint is only a summary and your main source should be the book. Measurement Scales Qualitative NominalOrdinal Quantitative Interval Ratio

15 Note: This PowerPoint is only a summary and your main source should be the book. Nominal level Ordinal level: Measurement Scale of Qualitative classifies data into mutually exclusive, exhausting categories in which no order or ranking can be imposed on the data. For example: Eye color,Gender, Political party, blood types …etc classifies data into categories can be ranked. For example: Grade of course (A,B,C), Size( S,M,L) Rating scale (Poor,Good,Excellent ) Ranking of tennis players …etc

16 Note: This PowerPoint is only a summary and your main source should be the book. Interval level Ratio level Measurement Scale of Quantitative ranks data and precise differences between units of measure do exist,however there is no meaningful zero. For example: Temperature, IQ test…etc possesses all the characteristics of interval and there exist a true zero. For example: Height, Weight, Time, Salary, Age …etc - + 0 + 0

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18 1- Blood Type,an example of which type of data? a) Qualitative c) Ordinal b) Continuous d)Nominal 2- Area of ​​ the Kingdom of Saudi Arabia, is an example of which type of data? a) Discrete c) Qualitative b) Nominal d)Continuous Answer 1 : a Note: This PowerPoint is only a summary and your main source should be the book. Answer 2 : d

19 3- Number of stores represents a a) Quantitative variable c) Discrete variable b) Continuous variable d) Interval variable 4- Classify " Temperature in Jeddah": a) Interval c) Qualitative b) Continuous d) Discrete Note: This PowerPoint is only a summary and your main source should be the book. 5- If you classified the fruit in a basket as apple, orange and banana, this would be an example of which level of measurement? a) Ordinal c) Ratio b) Nominal d) Interval Answer 3 : c Answer 4 : a Answer 5 : b

20 6- Which of the following represents ordinal level of measurement? a)Rating scale c) IQ score d) Age b) Marital status 7- Which one of the following variables is Qualitative? a) Amount of fat in a piece of cheese b) Salary of college professors c) Favorite TV program d) Age of a person Note: This PowerPoint is only a summary and your main source should be the book. Answer 6 : a Answer 7 : c

21 Data Collecting and Sampling Techniques Lecture (3) Lecturer : FATEN AL-HUSSAIN

22 Note: This PowerPoint is only a summary and your main source should be the book. Data collection Survey Observational and Experimental Telephone surveys Mailed questionnaire surveys Personal interview

23 Note: This PowerPoint is only a summary and your main source should be the book. Some Sampling Techniques Random sampling Systematic sampling Stratified sampling Cluster sampling To obtain samples that are unbiased,statisticians use four methods of sampling:

24 Note: This PowerPoint is only a summary and your main source should be the book. 1- Random sampling A random sample is a sample in which all members of the population have an equal chance of being selected.  Random samples are selected by using chance methods or random numbers For example:

25 Note: This PowerPoint is only a summary and your main source should be the book. Summer Term Q: Select random sample of 15 subjects out of 85 subjects: A: 12, 27, 75, 62, 57, 13, 31, 06, 16, 49, 46, 71, 53, 41, 02

26 Note: This PowerPoint is only a summary and your main source should be the book. 2- Systematic sampling is a sample obtained by selecting every k th member of the population where K is counting number.  Systematic samples are obtained by numbering each value in the population and then selecting the k th value. For example:

27 Note: This PowerPoint is only a summary and your main source should be the book. Decide on Sample Size: n Divide Frame of N individuals into Groups of k Individuals: k=N/n Randomly Select One Individual from the 1st Group Select Every k th Individual Thereafter N = 64 n = 8 k =64/8= 8 First Group

28 Note: This PowerPoint is only a summary and your main source should be the book. 3- Stratified sampling is a sample obtained by dividing the population into subgroups or strata according to some characteristic relevant to the study. Then subjects are selected from each subgroup. For example:

29 Note: This PowerPoint is only a summary and your main source should be the book. A researcher select a random sample from each gender to check their blood pressure Female male Strata Select

30 4- Cluster sampling is obtained by dividing the population into sections or clusters and then selecting one or more clusters and using all members in the cluster(s) as the members of the sample. For example: Note: This PowerPoint is only a summary and your main source should be the book.

31 Kingdom of Saudi Arabia EASTSOUTHNORTHWEST EAST Strata Select

32 1) Random : random number generator. 2) Systematic :every k th subject. 3) Stratified :divide population into group called “strata”. 4) Cluster :use intact groups. Note: This PowerPoint is only a summary and your main source should be the book.

33 1- A researcher wanted to do a study about doctor’s income in Jeddah. He divided hospitals into two sectors (private and public) then he took a sample from each sector. 2- A researcher wanted to know doctors opinion about herbal therapy in Jeddah. For this study he choose randomly 3 hospitals out of 20 hospitals in Jeddah, and all doctors in the 3 hospital were asked. Note: This PowerPoint is only a summary and your main source should be the book. A) Systematic C) Custer B) Stratified D) Random A) Systematic C) Custer B) Stratified D) Random Answer 1 : B Answer 2 : C

34 3- Every 7 th student entering the gate is checked for possession of university card.What type of sampling is used? A) Systematic C) Custer B) Stratified D) Random Answer 3 : A Answer 4 : D Note: This PowerPoint is only a summary and your main source should be the book. 4- Nursing supervisors are selected using random numbers to determine annual salaries. A) Systematic C) Custer B) Stratified D) Random

35 Types of Studies,Uses and Misuses of statistics Lecture (4) Lecturer : FATEN AL-HUSSAIN

36 Observational Study Experimental Study Types of Studies The researcher merely observes what is happening or what has happened in the past and tries to draw conclusions based on these observations. For example:  In a study the researcher records the mistakes which has been made by the students in the exam.  A researcher counts the number of people living in each house in specific a street. The researcher manipulates one of the variables and tries to determine how the manipulation influences other variables. For examples:  Patients were randomly assigned to two groups was given drug A and the other group was given drug B to determine if the drug has an effect on patient’s blood pressure.  An Instructor has Three Teaching method,he want to apply a best method by seeing students grades. Note: This PowerPoint is only a summary and your main source should be the book.

37  In a true experimental study, the subjects should be assigned to groups randomly. If this is not possible and a researcher uses intact groups, then he is performing a quasi-experimental study.

38 Note: This PowerPoint is only a summary and your main source should be the book. Dependent Variable or Outcome Variable Any Experiment has 2 Variables Independent Variable or Explanatory Variable The independent variable in an experimental study is the one that is being manipulated by the researcher. is the resultant variable

39 Note: This PowerPoint is only a summary and your main source should be the book. For example Note :Statistical studies usually include one or more independent variables and one dependent variable. For example: exercise, diet ( independent ) Health (dependent) Independenttemperature of water exercise Dependenttime to cook an egg health Influence

40 A confounding variable: is the variable that influences the dependent or outcome variable but was not separated from the independent variable.( variable that influence with other variable) For example: cigarette health age cigarettehealth confounding variable Influence Note: This PowerPoint is only a summary and your main source should be the book.

41 Example :subjects on exercise program may improve their diet and perhaps that improve their health in other ways not due to exercise alone. Then diet becomes confounding variable. exercise health diet exercise health confoundin g variable Influence

42 Note: This PowerPoint is only a summary and your main source should be the book. Control Group Types of group Treatment Group The group that received the special instruction. The group that dose not received the special instruction.

43 Note: This PowerPoint is only a summary and your main source should be the book. Patients were randomly assigned to groups: one group was given drug A and the other group was given drug B to determine if the drug has an effect on patient ’ s blood pressure. But some of the patients were smoking. Type of study the dependent variable the independent a)Experimental study a) smoking a) smoking b)Quasi – experiment study b) type of drug b) type of drug c)Confounding c) blood pressure c)blood pressure d)Observational study d) patients d)patients Answer : AAnswer : CAnswer : B

44 Note: This PowerPoint is only a summary and your main source should be the book. 1-In the relationship between the number of studying hours and exam grade,the number of studying hours is assumed to be a)Independent variable b)Nominal variable c)Confounding d)Dependent variable 2- A researcher stood at a busy intersection to see if the color of the automobile that a person drives is related to running red lights. a)Inferential b)Observational c)Descriptive d)Experimental Answer 1 : A Answer 2 : B

45 Note: This PowerPoint is only a summary and your main source should be the book. Uses and Misuses of statistics Suspect sample Ambiguous Averages changing Subject Detached Statistic Implied connection Faulty Survey Question Misleading Graphs

46 Note: This PowerPoint is only a summary and your main source should be the book. 1- Suspect sample: small samples,convenience sample, volunteer sample For example: if 4 doctors were surveyed from 100 doctors. 2- Ambiguous Averages: measures that are loosely called averages are the mean, median, mode and midrange. People who know this can without lying, select one of them to support their position.

47 Note: This PowerPoint is only a summary and your main source should be the book. 3- changing Subject : can occur when different values are used to represent the same data. For example: if one political candidate say “ I will increase salaries a mere 3%” And another one say “I will increase salaries a whopping 6,000,000 $” And 3% =6,000,000

48 Note: This PowerPoint is only a summary and your main source should be the book. 4- Detached Statistic: it is the one in which no comparison is made.(Compared to what?) For example, one may say that “Our cookies has one-third fewer calories” Here, fewer than what? 5- Implied connection : Usage of words such as may, suggest or some that imply connections but there is no guarantee For example: Eating fish may help to reduce your cholesterol.

49 6-Misleading Graphs: if graphs are drawn inappropriately, they can misrepresent the data and lead to false conclusions. 7- Faulty Survey Question : should be sure that the questions are properly written since the way questions are phrased can influence the way people answer them. Note: This PowerPoint is only a summary and your main source should be the book.

50 1- An advertisement for an exercise product; “using this product will burn 74% more calories” a) detached statistics b) changing the subject c) implied connections d) suspect samples 2- An advertisement for an exercise product; Studies suggest that using our exercise machine reduce your weight. a) detached statistics b) changing the subject c) implied connections d) suspect samples Note: This PowerPoint is only a summary and your main source should be the book. Answer 1 : A Answer 2 : C

51 Chapter Definitions Note: This PowerPoint is only a summary and your main source should be the book.

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