ChE253K Spring09 Lecture03.Rev01

# ChE253K Spring09 Lecture03.Rev01 - HW Help Via Blackboard...

This preview shows pages 1–14. Sign up to view the full content.

1 28Jan2009 ChE 253K Lecture 03 HW Help Via Blackboard Revisions Announcements Discussions

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

View Full Document
2 ChE 253K Lecture 03 28Jan2009 How To Summarize 1-D Data: Centers, Divisions & Spreads Descriptive Statistics
3 28Jan2009 ChE 253K Lecture 03 Outline Of This Lecture Data: Burn Fuel SOx Emissions 1-D Data Model: Meas = Mean ± Error Four-Plots to verify model: unControl, Lag, Histogram, Normal Prob Summary Stats: Excel & Text Centers: Mean, Median, Mode Divisions: Quartiles, Percentiles Spreads: Range, IQR, Std Deviation

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

View Full Document
4 28Jan2009 ChE 253K Lecture 03 Readings Re: This Lecture 1-D Data Model NIST Sections 1.2.1-3 Four Plots Lecture 02 Mean, Median, Mode Text Sections 2.5, 2.7 Percentiles & Quartiles Inter-quartile range Text Section 2.6 Sample Std Deviation Text Sections 2.5, 2.7
5 28Jan2009 ChE 253K Lecture 03 Sources: Tenn. Valley Authority; learningoasis.org

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

View Full Document
6 28Jan2009 ChE 253K Lecture 03 Data: SOx Emmissions (tons/day) x(i)={15.8 26.4 17.3 11.2 23.9 24.8 18.7 13.9 9.0 13.2 22.7 9.8 6.2 14.7 17.5 26.1 12.8 28.6 17.6 23.7 26.8 22.7 18.0 20.5 11.0 20.9 15.5 19.4 16.7 10.7 19.1 15.2 22.9 26.6 20.4 21.4 19.2 21.6 16.9 19.0 18.5 23.0 24.6 20.1 16.2 18.0 7.7 13.5 23.5 14.5 14.4 29.6 19.4 17.0 20.8 24.3 22.5 24.6 18.4 18.1 8.3 21.9 12.3 23.3 13.3 11.8 19.3 20.0 25.7 31.8 25.9 10.5 15.9 27.5 18.1 9.4 17.9 24.1 20.1 28.5} (N=80) Sources: Miller & Freund’s Prob & Stat for Engineers, 7 th Ed.
7 28Jan2009 ChE 253K Lecture 03 1-D Data Model Measurement = TrueValue ± RandomError X(i) = Mean ± (StDev × NormalRandom) 0 10 20 30 40 50 0 20 40 60 80 Sequence Measurements 0 5 10 15 20 25 30 <9 11 19 21 27 31 Interval Midpoint Frequenc

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

View Full Document
8 28Jan2009 ChE 253K Lecture 03 1-D Data Model Assumptions Assumptions Plots Check? Stable location and spread unControl Chart Random and uncorrelated Lag Plot X(i) vs. X(i-1) Single, clear center Standard shape Histogram Normal distribution Normal Probability Paper Plot
9 28Jan2009 ChE 253K Lecture 03 (un)Control Chart Stable or trending center & spread? Plot measurements vs. time or sequence # Scale measurements to see trends, not points Center Line: Mean Spread Lines: Mean ± 2 Std Deviations unControl Chart 0 100 200 300 0 25 50 75 100 Sequence Measurement

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

View Full Document
10 28Jan2009 ChE 253K Lecture 03 unControl Chart: SOx Emissions X(i) = {15.8 26.4 17.3 . .. 24.1 20.1 28.5} Mean = 18.9 Std Deviation = 5.7 N = 80 0 10 20 30 40 50 0 20 40 60 80 Sequence Measurements
11 28Jan2009 ChE 253K Lecture 03 Lag Plot Random or auto-correlated? Plot X(i) vs. X(i–1) Shaped Correlated Shapeless Random Lag Plot 0 100 200 300 0 100 200 300 X(i-1) X(i)

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

View Full Document
12 28Jan2009 ChE 253K Lecture 03 Lag Plot: SOx Emissions x(i-1) x(i) 15.8 26.4 26.4 17.3 17.3 11.2 11.2 23.9 ... ...
13 28Jan2009 ChE 253K Lecture 03 1-D Data Model Assumptions Assumptions Plots Check?

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 02/25/2010 for the course CHE 253k taught by Professor Staff during the Spring '08 term at University of Texas.

### Page1 / 41

ChE253K Spring09 Lecture03.Rev01 - HW Help Via Blackboard...

This preview shows document pages 1 - 14. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online