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Statistics for Business and Economics: Winter 2005 Course Notes by Prof. Jaimie Kwon, Quizzes of Business Statistics

The course outline for 'statistics for business and economics' taught by prof. Jaimie kwon at cal state east bay during winter 2005. Topics such as descriptive and inferential statistics, probability, data collection, sampling, hypothesis testing, and estimation. Students are expected to learn key paradigms, techniques, and concepts in statistics, as well as how to apply them to various data sets.

Typology: Quizzes

Pre 2010

Uploaded on 08/19/2009

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Statistics 2010: Elements of
Statistics for Business and
Economics
Winter 2005
Prof. Jaimie Kwon
Dept of Statistics
Cal State East Bay
Logistics
Grades
Midterm(s), final
–Quiz
Homeworks
Computer (MS excel, occasional Minitab
and R)
Objectives
Understand the key paradigms of statistics; Keywords
include:
Population, parameter
Sample, statistic
100(1-α)% Confidence interval
Statistical hypothesis testing
P-value
Linear regression
•Learn to:
Identify the relevant technique(s) to use for the given data or
question
Compute basic statistics and run simple tests
Interpret the results
Chapter 1. What is statistics?
Statistics
Descriptive statistics
Inferential statistics
Population vs. sample paradigm
Parameter vs. statistic
Chapter 2. Graphical and tabular
descriptive statistics
Variable
Interval (quantitative, numerical)
Nomin al (categorical)
–Ordinal
Nominal data
Frequency
Relative fre quency
Interval data
Histogram: class intervals; Sturges’ formula
# of Peaks? Skewnes s?
Stem-and- leaf plot
Graphical and tabular descriptive
statistics (continued)
Bivariate variables
Two nominal variables
Contingency table
Two interval variables
Scatter diagrams
Linear relationship (direction and strength)
Time series data
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Download Statistics for Business and Economics: Winter 2005 Course Notes by Prof. Jaimie Kwon and more Quizzes Business Statistics in PDF only on Docsity!

Statistics 2010: Elements of

Statistics for Business and

Economics

Winter 2005

Prof. Jaimie Kwon

Dept of Statistics

Cal State East Bay

Logistics

• Grades

– Midterm(s), final

– Quiz

– Homeworks

• Computer (MS excel, occasional Minitab

and R)

Objectives

  • Understand the key paradigms of statistics; Keywords

include:

  • Population, parameter
  • Sample, statistic
  • 100(1-α)% Confidence interval
  • Statistical hypothesis testing
  • P-value
  • Linear regression
  • Learn to:
  • Identify the relevant technique(s) to use for the given data or question
  • Compute basic statistics and run simple tests
  • Interpret the results

Chapter 1. What is statistics?

• Statistics

– Descriptive statistics

– Inferential statistics

• Population vs. sample paradigm

– Parameter vs. statistic

Chapter 2. Graphical and tabular

descriptive statistics

• Variable

  • Interval (quantitative, numerical)
  • Nominal (categorical)
  • Ordinal

• Nominal data

  • Frequency
  • Relative frequency

• Interval data

  • Histogram: class intervals; Sturges’ formula
  • of Peaks? Skewness?

  • Stem-and-leaf plot

Graphical and tabular descriptive

statistics (continued)

• Bivariate variables

– Two nominal variables

  • Contingency table

– Two interval variables

  • Scatter diagrams
  • Linear relationship (direction and strength)

• Time series data

Chapter 4. Numerical descriptive

techniques

• Measures of central location

  • Mean, median, mode

• Measures of variability

  • Range, variance, sd

• Percentiles and quartiles

• Outliers

• Boxplot

• Measures of linear relationship

  • Covariance
  • Correlation
  • Least squares line (slope and intercept)

Chapter 5. Data collection and

sampling

• Data collection methods

– Observational

– Experimental

– Survey

• Sampling

– Simple random sample

– And others...

Chapter 6. Probability

  • Random experiment
  • Outcomes
  • Sample space
  • Events
  • Three approaches to assigning probabilities
    • The classical approach
    • The relative frequency approach
    • The subjective approach
  • Joint, marginal, conditional probability
  • Independence of events
  • Union, intersection, complement
  • Multiplication rule, addition rule, Bayes’ rule

Chapter 7. Random variables and

discrete probability distributions

• Random variable

  • Discrete
  • Continuous

• Probability distribution P(x)

• E(X), V(X),...

  • E(cX+d)=...

• Bivariate distribution P(x,y)

• Cov(X,Y), ρ,...

• Cumulative probability

• Binomial experiment and bin(n,p)

• Poisson distribution

Chapter 8. Continuous probability

distributions

• Probability density functions

• Uniform(a,b) distribution

• X~N(μ, σ^2 )

• Z=(X-μ)/σ ~N(0,1): “standard normal”

  • zα such that P(Z>zα)= α: “(upper) critical value”

• Student t distribution

  • T~t(ν) (ν = “degrees of freedom”)
  • tα(ν) such that P(T> tα(ν)): “(upper) critical value”

• Misc. distributions

  • Chi-squared distribution
  • F distribution

Chapter 9. Sampling distributions

  • X (^) i~some distribution with
    • Mean μX
    • Variance σX^2
  • Sampling distribution of the sample mean of a random

sample of size n

  • Mean: same as μX
  • Variance: σX^2 divided by n
  • Approximately normal if n is large, say n≥ 30
  • Exactly normal if Xi is normally distributed
  • Sampling distribution of the sample proportion (p-hat)
  • Sampling distribution of the difference between two

means (x1-bar – x2-bar)

Chapter 15. Analysis of variance

• ANOVA compares means of more than

two populations

– Or, more generally, it studies the effect of

categorical predictor variable(s), called

factor(s), on the interval response variable

• One-way ANOVA

• Two-way ANOVA

Chapter 16. Chi-squared tests

• Recall the contingency table

• Chi-squared tests are used to answer

whether two categorical variables are

related (or “dependent”)

Chapter 17. Simple linear

regression and correlation

• Least squares line coefficients (regression line)

  • Dependent variable x
  • Independent variable y

• Conditions on error variable ε

• SSE (sum of squares for error)

• Testing whether the slope =0 (t-test and t

confidence interval)

  • Standard error of estimate

• Coefficient of determination R 2

• Cause-and-effect relationship?

Simple linear regression

(continued)

• Using the regression equation

  • Prediction of a particular y for a given x
  • Estimating E(y) for a given x

• Regression diagnostics (Checking assumptions

for regression)

  • Residual analysis
  • Non-normality
  • Heteroscedasticity
  • Non-independence
  • outliers

Chapter 18. Multiple regression

• More than one independent (interval)

variables

• Model and assumptions

• Estimating and testing

• Regression diagnostics

Remaining chapters

• Chapter 19. Model building

• Chapter 20. Time series analysis and

forecasting

• Chapter 21. Nonparametric statistics

• Chapter 22. Statistical process control

• Chapter 23. Decision analysis

Course summary

• Recap of the course objectives

• Have you achieved the course objectives?