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- 19:22, 20 August 2007 Uncertainties and Error Propagation (hist) [2,712 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleActivityLinks}} == Goal == Collect data in a simple situation, analyze measurements for Type A and Type B uncertainties, estimate accuracy and precision, report resu...)
- 17:18, 9 August 2007 Sensitivity Analysis (hist) [5,233 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} {| align="right" | __TOC__ |} In the common analysis situation, we tacitly assume a model experiment in which we measure values for a dependent variabl...)
- 18:46, 2 August 2007 Rank-Order Correlation:Example (hist) [4,501 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} Here we illustrate use of the rank-order coefficient: we ask whether the grades in one course correlate with gra...)
- 18:26, 2 August 2007 Correlation vs Connection (hist) [1,913 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} Be aware that even if you can establish the existence of a correlation, you have not established a complete causal connection. The typical possibilitie...)
- 16:00, 2 August 2007 Rank-Order Correlation Coefficient (hist) [6,705 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} {| align="right" | __TOC__ |} Rather than use the linear correlation coefficient <math>r</math> to test for a correl...)
- 13:53, 28 July 2007 Residuals (hist) [7,475 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} {| align="right" | __TOC__ |} Given a set of x-y data, let’s assume we have linearized the data and have fit a [[Least Squ...)
- 17:51, 27 July 2007 Least Squares:Generalized Fits (hist) [5,634 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} {| align="right" | __TOC__ |} The normal least-squares equations are used to fit a straight line to x-...)
- 20:20, 26 July 2007 Least Squares Fits:Comments (hist) [4,331 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} == Test for Correct Fit == One of the normal equations forces the sum of the (weighted) deviations to be exactly zero (within round-off error), <div ...)
- 18:44, 26 July 2007 Least Squares:Simple Fits (hist) [7,181 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} Once we have found functions of <math>x</math> and <math>y</math> that are related (more or less) linearly, we need to quantify the relation; that is, ...)
- 15:05, 26 July 2007 Straightening Plots:An Example (hist) [5,213 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} Here we illustrate the process for straightening x-y plots. Consider the vapor pressures <math>P^s</math> of water, plotted...)
- 20:02, 25 July 2007 Linear Correlation Coefficient (hist) [4,401 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} It is conventional tp quantify the linearity of x-y plots by computing a '''linear correlation coefficient''', <math>r</math>, which is defined by <c...)
- 18:13, 25 July 2007 Straightening X-Y Plots (hist) [5,775 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} Given experimental data for <math>y</math> measured at known values of <math>x</math>, our problem is to identify the functional relation between the t...)
- 20:54, 24 July 2007 Fits to Data (hist) [3,343 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticlePlotsLinks}} If the plot contains only measured points, resist the temptation to connect the dots or to draw in a line "merely to guide the eye." Such lines impose a ...)
- 19:17, 24 July 2007 Presenting Plots (hist) [9,614 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{TechWriteLinks}} For readers to grasp the information contained in plots and charts, the graphics must be thoughtfully designed and completely documented. Design and documen...)
- 19:08, 24 July 2007 Dot Charts (hist) [1,599 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticlePlotsLinks}} Occasionally we need a graphical way to present a set of numbers whose values change with members of a class rather than with some second numerical quant...)
- 18:45, 24 July 2007 Difference Plots (hist) [3,322 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticlePlotsLinks}} The x-y plot shows how two different quantities are related. But sometimes we want to compare values of the same quantity obtained from two different sou...)
- 17:55, 24 July 2007 X-y plots (hist) [5,278 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleTechWriteLinks}} Of the many graphic devices that are used in scientific and engineering literature, the most common is the x-y plot. These plots are sometimes called...)
- 14:57, 18 July 2007 Improving Tables (hist) [14,364 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleTablesLinks}} To be effective a table must be organized so that the presentation is logical and economical. Moreover, the structure of a table should be transparent; ...)
- 14:29, 18 July 2007 Presenting Tables (hist) [5,506 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleTablesLinks}} Tables should merely present facts; discussion and interpretation of those facts should be presented in the text. So, as a collection of facts, a table ...)
- 19:24, 17 July 2007 Matrix Tables (hist) [3,792 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleTablesLinks}} When we have members of a group of things, we often want to know how pairs of group members are related or are correlated with one another. More general...)
- 19:11, 17 July 2007 Bilateral Tables (hist) [2,886 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleTablesLinks}} By a bilateral table we mean one that contains two independent variables; values of one independent variable are listed in the first column, and values ...)
- 18:06, 17 July 2007 Unilateral Tables (hist) [5,483 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleTablesLinks}} By a '''unilateral table''' we mean one that contains a single independent variable; typically, values of the independent variable occupy the left-most ...)
- 16:08, 17 July 2007 Simple Procedures (hist) [1,037 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} A simple procedure is one in which each step can be accomplished in a straightforward way, without invoking a set of sub-steps. Here's an example, which pertains to the maint...)
- 18:33, 16 July 2007 Economical Display (hist) [6,827 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleEqsLinks}} Displayed equations are intended to help readers see relations, and readers more readily grasp relations when the equations are structurally simple, unencu...)
- 17:53, 16 July 2007 Breaking Long Equations (hist) [1,572 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleEqsLinks}} When an equation must occupy more than one line, try to make each break before a sum or difference operator, but in any case start each successive line wit...)
- 16:21, 16 July 2007 Special Symbols (hist) [4,970 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleEqsLinks}} == Operators == For the minus sign use the en-dash (–), or even the em-dash (—) rather than the smaller hyphen (-), which is difficult to see...)
- 15:54, 16 July 2007 Punctuating Equations (hist) [3,810 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleEqsLinks}} The purpose of punctuation is to prevent ambiguities, usually by inserting a pause that signals a logical break in the message; however, in mathematical ex...)
- 17:50, 15 July 2007 Notation (hist) [4,938 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleEqsLinks}} Constructing an equation is an act of translation from ordinary language to the language of mathematics. But writers should keep in mind that their readers...)
- 17:40, 15 July 2007 Role of Equations (hist) [1,854 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleEqsLinks}} An equation is a more substantial device than a mere formula. A '''formula''' provides an algorithm for transforming numbers into other numbers; an example...)
- 16:25, 15 July 2007 Hyphens and Dashes (hist) [2,709 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticlePunctuationLinks}} Here we distinguish among the hyphen (-), the em-dash (—), and the en-dash (–). Note that the hyphen is the shortest, while the em-dash...)
- 16:01, 15 July 2007 Colon (hist) [3,215 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticlePunctuationLinks}} When a phrase or clause B illustrates, amplifies, or exemplifies another clause A, then a colon can be used to denote the relation between the two,...)
- 15:28, 15 July 2007 Semicolon (hist) [2,401 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticlePunctuationLinks}} To join two complete clauses we often use a conjunction; however, in many sentences we could also use a semicolon. For example, in this sentence ...)
- 15:01, 15 July 2007 Comma (hist) [6,313 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleTechWriteLinks}} In an earlier age commas were used liberally, often to signal points for breathing when the text was read aloud. Modern writing tends toward a sparse...)
- 19:04, 14 July 2007 Propagation of Uncertainties (hist) [4,060 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} In analyzing experimental data we usually combine measured values to compute values for other quantities. For example, from values measured for the tem...)
- 17:23, 14 July 2007 Reporting Uncertainties (hist) [3,244 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} When reporting uncertainties we should cite each source, tell whether it was treated as type A or [[Uncertainties of Ty...)
- 16:24, 14 July 2007 Uncertainties (hist) [2,283 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} Although errors cannot be known, it is possible to quantify uncertainties; by an '''uncertainty''' we mean a range of values that is likely ...)
- 13:18, 14 July 2007 Expanded Uncertainty (hist) [3,902 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} After we have estimated the total (combined) uncertainty, we often want to be able to state that some interval captures a larg...)
- 20:19, 13 July 2007 Combined Uncertainty (hist) [2,528 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} Once we have determined estimates for the type A and type B uncertainties for a measured quanti...)
- 16:14, 13 July 2007 Uncertainties of Type B (hist) [5,676 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} Although errors cannot be known, it is possible to quantify uncertainties; by an '''uncertainty''' we mean a range of values that is likely ...)
- 15:43, 13 July 2007 Uncertainties of Type A (hist) [3,755 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} Although errors cannot be known, it is possible to quantify uncertainties; by an '''uncertainty''' we mean a range of values that is likely ...)
- 15:07, 13 July 2007 Discarding Data (hist) [5,168 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} When we repeat measurements of the same quantity, we sometimes obtain one value that differs noticeably from the others. We have an outlier and the...)
- 18:16, 12 July 2007 Repeated Measurements (hist) [7,965 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} We use repeated measurements to help us quantify uncertainties, but other information can also be extracted from repeated measurements. The activit...)
- 14:21, 12 July 2007 Distribution of Measured Values (hist) [3,020 bytes] Wikiadmin (Talk | contribs) (New page: {{WikiTag}} {{ArticleDataAnaLinks}} To explore the range over which a measured value is distributed, we repeat measurements. When fluctuations in the measurement are dominated by random e...)
- 13:00, 12 July 2007 Errors (hist) [4,237 bytes] Wikiadmin (Talk | contribs) (New page: Let <math>y</math> represent the (unknown) exact value of a measurable quantity and let <math>y_i</math> represent one value measured for <math>y</math>. Then the error <math>e_i</math> in...)
