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1Topic #3-Statistical Inference-sport

# 1Topic #3-Statistical Inference-sport - Topic#3...

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1              Slide Topic #3 Statistical Inference  (see notes below) Point Estimation  Sampling Distribution of  Sampling Distribution of Not on any exams  Hypothesis Testing Interval Estimation Not on any exams  Obj101 Obj102

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2              Slide Form Your Team By End of 2nd Class!
3              Slide Is This Material Familiar? You should have already seen the material in this section.  This should be a review for you.

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4              Slide Statistical Inference Definitions A population  is the set of all the elements of interest. All 54,000 UCF students A sample  is a subset of the population.  This class
5              Slide Statistical Inference Definitions (cont.) A parameter  is a numerical characteristic of a population usually unknown value Example : mean of a variable Average GPA of all UCF students An estimate  is a statistical approximation of a  parameter’s value Average GPA  in this class  = 4.60 (!)

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6              Slide Statistical Inference The purpose of statistical inference   obtain information about a population from information  contained in a sample The sample results provide only estimates  of the values  of the population characteristics With proper sampling methods , the sample results will  provide “good” estimates of the population characteristics.
7              Slide           National Econo my 44% 43% 71% 42% Methodology The ABCNEWS/ Money magazine Consumer Comfort Index is based on 1,009 telephone interviews in the month ending Sept. 23 and has an error margin of plus or minus 3 percentage points. Confidence Holds Steady By Gary Langer N E W Y O R K, Sept. 26 — Consumer confidence held steady in the latest ABCNEWS/ Money magazine poll as 9/9/01 15-year avg. 9/24/01 1/7/01 Who’s the population? What’s the sample size? What are the confidence interval values for 9/24?

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8              Slide Point Estimation In point estimation  we use the data from the sample to  compute a SINGLE VALUE of a sample statistic that serves  as an ESTIMATE of a population parameter. ESTIMATOR Formula  Gives numerical value of parameter. Example: formula for mean We refer to     as the point estimator  of the population mean  μ . s  is the point estimator  of the population standard deviation  σ . Obj104 Obj105 n x x i =
9              Slide Point Estimation REVIEW ESTIMATE  numerical value calculated from data in the sample  approximation of population parameter value  ESTIMATOR Formula  Gives estimate

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10              Slide
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1Topic #3-Statistical Inference-sport - Topic#3...

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