LectureAug27%20(Wed)

# LectureAug27%20(Wed) - Descriptive Statistics I What Can...

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Unformatted text preview: Descriptive Statistics I. What Can Statistical Procedures Tell Us? II. Population Statistics • Central Tendency • Dispersion • Normal Distribution III. Estimates from a Limited Sample • Sample Statistics • How Good are These Estimates? • Standard Error of the Mean IV. Classification of Data • Interval Data • Categorical Data BME 423 Lecture Notes - Aug. 27, 2008 II. Population Statistics 1 1 N i i x N μ = = ∑ ( ) 2 2 1 1 N i i x N σ μ = = − ∑ Dispersion - Variance Central Tendency - Mean , 1 , , i x i N = … 40. 5.0 cm cm μ σ = = 15 2.5 cm cm μ σ = = 2 1 1 ( ) exp 2 2 x f x μ σ σ π ⎡ ⎤ − ⎛ ⎞ = − ⎢ ⎥ ⎜ ⎟ ⎝ ⎠ ⎢ ⎥ ⎣ ⎦ Normal (Gaussian) Distribution Probability density function for Normal distributed random variable f ( x ) x μ Normally distributed random variable Non Normal Distribution II. Estimates from a Limited Sample – Sample Statistics 1 1 n i i x x n = = ∑ ( ) 2 2 1 1 1 n i i s x x n = = − − ∑ Dispersion – Sample Variance Central Tendency – Sample Mean , 1 , , i x i n n N = < … 10 15 20 Dispersion – Range...
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LectureAug27%20(Wed) - Descriptive Statistics I What Can...

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