{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

4-2 Probability Plots

4-2 Probability Plots - Lecture 4-2 Probability Plots...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 4-2 Probability Plots Navidi Section 4.5 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Does your sample come from a Normal Distribution? If large number of samples, plot Histogram Probability plots (discussed next) If small number, difficult to determine Samples from Normal distributions rarely contain outliers; if you have an outlier you would not generally use the Normal distribution If no outliers, information about process can be used 2
Background image of page 2
3 Probability Plots Scientists and engineers often work with data that can be thought of as a random sample from some population. In many cases, it is important to determine the probability distribution that approximately describes the population. More often than not, the only way to determine an appropriate distribution is to examine the sample to find a sample distribution that fits.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Probability Plots If we had, say, 5 data points that came from a Normal distribution, what would they look like? ) ( z z
Background image of page 4
Constructing a Normal Probability Plot 5 Example: Do these five data points come from a Normal Distribution? 3.01, 3.35, 4.79, 5.96, 7.89 Assign increasing, evenly spaced values between 0 and 1 to each Xi, to denote its position in the ordered sample. To do this, use the Empirical Cumulative Distribution Function (ECDF): ECDF:
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}