Download presentation

Presentation is loading. Please wait.

Published byRichard Tough Modified over 2 years ago

1
ECONOMICS 521 ECONOMIC STATISTICS

2
Jerry S. Kelly 312 Maxwell Hall (Not Eggers) jskelly@syr.edu 443-2345

3
Sample Population Frequency distribution Probability distribution Descriptive Statistics Probability Theory Sample statistics Parameters Sampling distribution Inferential Statistics

4
Sample: x 1, x 2,..., x N (x 1, y 1 ), (x 2, y 2 ),..., (x N, y N ) Statistic: A function f(x 1, x 2,..., x N ) from samples to the real numbers

5
Measures of central tendency A statistic is a measure of central tendency if and only if (1) f(x 1 +A, x 2 +A,..., x N +A) = f(x 1, x 2,..., x N ) + A; and (2) f(Bx 1, Bx 2,..., Bx N ) = Bf(x 1, x 2,..., x N ).

6
Measures of Variation A statistic is a measure of variation if and only if (1) f(x 1 +A, x 2 +A,..., x N +A) = f(x 1, x 2,..., x N ); and (2) f(Bx 1, Bx 2,..., Bx N ) = *B*f(x 1, x 2,..., x N ).

7
1. f(x 1, x 2,..., x N ) = x 1 ; 2. f(x 1, x 2,..., x N ) = x 1 + x 2 ; 3. f(x 1, x 2,..., x N ) = (x 1 + x 2 )/2; 4. f(x 1, x 2,..., x N ) = x MAX ;

8
5. f(x 1, x 2,..., x N ) = (x MAX + x MIN )/2; 6. f(x 1, x 2,..., x N ) = (x 1 + x 2 +... + x N )/N = Mean 7. f(x 1, x 2,..., x N ) = Mode {x 1, x 2,..., x N }; 8. f(x 1, x 2,..., x N ) = Median {x 1, x 2,..., x N };

9
9. f(x 1, x 2,..., x N ) = * x 2 - x 1 * ; 10. f(x 1, x 2,..., x N ) = x MAX - x MIN

Similar presentations

OK

Statistics 1: Introduction to Probability and Statistics Section 3-2.

Statistics 1: Introduction to Probability and Statistics Section 3-2.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on transportation class 10 Ppt on forward contract examples Ppt on standard operating procedures Ppt on art of war 3 Ppt on seven ages of life Ppt on conservation of momentum ppt Ppt on satellite orbit Ppt on miniature circuit breaker Full ppt on electron beam machining application Ppt on different types of dance forms list