Download - Error Bars in Normal Distributions
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Error Bars in Normal Distributions
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Error Bars in Column / Bar Graphs
http://chandoo.org/wp/2010/07/12/gantt-box-chart-tutorial-template/http://support2.dundas.com/OnlineDocumentation/winchart2005/ErrorBarsChart.html
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Standard Deviation,
(value average)2
n 1
(value average)2
n
Standard Deviation: A statistical measure of spread or variability. Computed as the root mean square (RMS) deviation of the values from their arithmetic mean.
Variance: The square of the standard deviation.
STDEV, sample of a largerpopulation
STDEVP, entire population
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Average & Error Barsin Column Graphs
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Compute Sigma
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Compute Sigma
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How to Add Error Bars
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How to Add Error Bars
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How to Add Error Bars
Select the cell that contains the sigma value
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Average & Error Barsin Bar Graphs
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Average & Error Barsin Bar Graphs
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Average & Error Barsin Bar Graphs
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Bad example Better example
(X,Y) Scatter Graphs& Regression
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How to Present (X,Y) Scatter Graphs, Compute Trendlines, and Extract Chemical
Information using Excel
How to Present (X,Y) Scatter Graphs, Compute Trendlines, and Extract Chemical
Information using Excel
Example: Chemical Kinetics & Equilibria SP10 Assign. #4 on Aspirin: Handout & online.
SP11 Assign. #4 on pH-Indicator: Handout & online.
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AP11 Assignment #4AP11 Assignment #4
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AP11 Assignment #4AP11 Assignment #4
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AP11 Assignment #4AP11 Assignment #4
Your simulated spectrum will be the sum of the Gaussian functions that describe the absorbances of the three species: -- protonated dye-- neutral dye, and -- deprotonated dye.
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AP11 Assignment #4AP11 Assignment #4
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(X,Y) Built-In Functions
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(X,Y) Data Quadratic Function
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(X,Y) Data Quadratic Function
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(X,Y) Data Quadratic Function
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(X,Y) Data Quadratic Function
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(X,Y) Data Quadratic Function
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(X,Y) Data Quadratic Function
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(X,Y) Data Quadratic Function
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(X,Y) Data Quadratic Function
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(X,Y) Data QF: Y-Axis Error Bars
1. Left click the graph line to which you want to add error bars.2-Mac: Control-click the selected line.2-PC: Left-click the selected line.3. Select “Format Data Series”.
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(X,Y) Data QF: Y-Axis Error Bars
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(X,Y) Data QF: Y-Axis Error Bars
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(X,Y) Data QF: Y-Axis Error Bars
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(X,Y) Data QF: Types of Errors
The precise function was y = x2
The sample data were computed with: y = [x+0.3*RAND()]2 The x-values were assumed to be error-free
The fitted function was: y = 0.9937x2+ 0.3459xThe STDEV of the y-values is 0.62
Systematic error: All numbersin the sample will be too high!
Systematic error: There should not be a linear term.
This is were you notice the systematic error made (on purpose) in the sample data generation!