KINESIOLOGY
09/08/17
The Generation of Knowledge
Often the goal of research is the generation of knowledge
Systematic- Problems, methods, data, analysis, interpretation, conclusions
Logical- others can evaluate conclusions drawn
Empirical-Conclusion based
Exercise for Probability
Sample space and probability
Question 1: A probability experiment is conducted. Which of these cannot be considered a probability of
an outcome?
(a) 1/3
(b) (c) 0.80
(d) 0.59
(e) 0
(f) 1.45
(g) 1
(h)33%
(i)112%
Question 2: Classif
Stat 103 T2 2016-2017 Assignment 8
Due Time: 3:20 PM March 24, 2017
Question 1(10 points for each question. Total 50 points): In a 400-page manuscript,
there are 100 random misprints. Assume that these misprints are distributed following
Poisson distribut
UNIVERSITY OF SASKATCHEWAN
Department of Mathematics & Statistics
Stat 103.3 Test 3
Date: March 31, 2017
Time: 45 minutes
Instructor: Qingde Yang
Closed Book, No Notes
One formula sheet and one Calculator are allowed.
PRINT your name clearly and write you
Exercise
Sets
Question 1: Write each set using the descriptive method.
(a) cfw_2,4,6,8,
(b) cfw_9,18,27,36,
(c) cfw_m,a,r,y
(d) cfw_100,101,102,199
Question 2: Write each set using roster notation. Do not include repeats.
(a) S is the set of letters in th
Stat 103 T2 2016-2017 Assignment 6
Due Time: 3:20PM March 3, 2017
Question 1 (10 points for each question. Total 20 points): An urn contains five red,
three orange, and two blue balls. Two balls are randomly chosen without replacement.
Let X represent the
Stat 103 T2 2016-2017 Assignment 7
Due Time: 3:20 PM March 10, 2017
Question 1(10 points for each question. Total 40 points): Suppose that the probability
that an item produced by a certain machine will be defective is 0.2. A sample of 12 items
is chosen.
Stat 245.3 Compulsory Asst 4 (due Dec 05)
1. In the following study the researcher was interested in determining how systolic
and diastolic blood pressure affected heart recovery rate. Subjects (n = 45) in
the experiment exercised on a stationary bike unt
Stats 245 Computer Asst 3
Due: Monday, November 24
In the following experiment the researcher was interested in the side effects of radiation therapy
on patents suffering cancerous lesions. In particular he was interested in the effect of radiation
therap
Stat 245.3(01) Assignment 1 Compulsory
Due: Friday, October 03
The data for this assignment was collected from n = 1800 women age 20- 45.
The following variables were measured
1. age
2. BP = systolic Blood pressure
3. BrthPl = cfw_yes, no (whether subject
Stats 245.3 Computer Assignment 2
due Friday, October 31
The following data gives the results on n = 100 performances of the Olympic decathlon. The
measurements taken for each performance were:
1. x1 (100m)
2. x2 (Long jump)
3. x3 (Shot put)
4. x4 (High j
Multivariate Data
Descriptive techniques for
Multivariate data
In most research situations data is collected
on more than one variable (usually many
variables)
Graphical Techniques
The scatter plot
The two dimensional Histogram
The Scatter Plot
For two
Linear Regression
Hypothesis testing and Estimation
Assume that we have collected data on two
variables X and Y. Let
(x1, y1) (x2, y2) (x3, y3) (xn, yn)
denote the pairs of measurements on the on
two variables X and Y for n cases in a sample
(or populatio
Comparing Populations
Proportions and means
Most studies will have more than one population.
Example The Salk-vaccine trial 1954
A large study to determine if the Salk vaccine
was effective in reducing the incidence of polio.
Two populations:
1. Individua
Students t-test
Recall: The z-test for means
The Test Statistic
x 0 x 0 x 0
z
s
x
n
n
Comments
The sampling distribution of this statistic is the
standard Normal distribution
The replacement of by s leaves this
distribution unchanged only if the sample
Numerical Measures
Numerical Measures
Measures of Central Tendency (Location)
Measures of Non Central Location
Measure of Variability (Dispersion,
Spread)
Measures of Shape
Measures of Central Tendency
(Location)
Mean
Median
Mode
Central Location
0.14
Sampling Theory
Determining the distribution of Sample
statistics
Sampling Theory
sampling distributions
Note:It is important to recognize the dissimilarity
(variability) we should expect to see in various
samples from the same population.
It is importan
Multivariate Data
Summary
Linear Regression and
Correlation
Pearsons correlation coefficient r.
n
r
S xy
S xx S yy
x x y
i
i
y
i 1
n
n
x x y
2
i
i 1
i 1
i
y
2
Slope and Intercept of the Least Squares line
n
Slope
b
S xy
S xx
x x y
i
i 1
n
i
x x
y
Comparing k Populations
Means One way Analysis of
Variance (ANOVA)
The F test for comparing k means
Situation
We have k normal populations
Let i and denote the mean and standard
deviation of population i.
i = 1, 2, 3, k.
Note: we assume that the stand