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Islamic University of Gaza
Statistics and Probability for Engineers
ENCV 6310
Instructor:
Dr. Essam Almasri
[email protected],
Class Time:
201: Sunday 3:00 – 6:00 (L307)
Office Hours:
Sat/Mon/Wed: 10-11
Sun/Tue
: 11-1
Topics:
 Revision - Introduction (Ch1)
o Concept of variability
o Types of data
o Levels of measurements
o Misuse of statistics
o Types of models
o Types of experiments
 Revision - Probability
o Sample Space and events
o Interpretations of Probability
o Addition rules
o Conditional Probability
o Multiplication and Total Probability Rules
o Independence
 Revision - Data summarizing and description (Ch6)
o Importance of data summary
o Important parameters
o Frequency distribution and histograms
o Box plots
o Time series plots
 Discrete Random Variables Probability Distributions (Ch3)
o Discrete random variables
o Probability mass functions
o Summarizing parameters
o Binomial distribution
o Geometric distribution
o Poisson distribution
 Continuous Random Variables Probability Distributions (Ch4)
o Continuous random variables
o Probability density functions
o Summarizing parameters
o Normal distribution
o Exponential distribution
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o Lognormal distribution
Estimation of Parameters (Ch 7)
o Statistical inference
o Random sampling
o Properties of estimators
o Sampling distributions
Statistical Intervals (Ch8 Douglas, Ch6 Mario)
o Confidence intervals
o Confidence interval of the mean (known variance)
o Confidence interval of mean (unknown variance)
o Confidence interval of the variance
Tests of Hypothesis and Statistical Inference (Ch9 Douglas, Ch7 Mario)
o Test of hypothesis - general
o Test of hypothesis on proportions
o Test of hypothesis on the mean – variance known
o Test of hypothesis on the mean – variance unknown
o Test of hypothesis on variance
Statistical Inference for Two Samples (Ch10)
o Inference for the difference in means of two normal distribution
o Paired t-test
o F-test
Correlations and Regressions (Ch11 Douglas, Ch9 Mario)
o Empirical Models
o Simple Linear Regression
o Least Squares
o Estimators
o Hypothesis Tests in Simple Linear Regression
o Confidence Intervals
o Residual Analysis 395
o Coefficient of Determination
o Correlation
Analysis of Variance (Ch1 3 Douglas, Ch11 Mario)
o One-way ANOVA
o Two-way ANOVA
Other Topics (non-parametric testing, etc.)
Grading:
20 %
Class work
20-30 %
Midterm Exam
60-50 %
Final Exam
Text Book/programs:
 Applied Statistics and Probability for Engineers. Douglas C. Montgomery and George C.
Runger , Third Edition.
 Elementary Statistics. Mario F Triola. Ninth Editions
 Microsoft Office Excel 2007