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     <title>RAND Research Topic: Statistical Analysis Methodology</title>
     <link rel="self" href="http://www.rand.org/topics/statistical-analysis-methodology.xml"/>
     <updated>2013-05-16T11:27:30Z</updated>
     <link rel="alternate" type="text/html" hreflang="en" href="http://www.rand.org/topics/statistical-analysis-methodology.html" />
     <rights>Copyright (c) 2013, The RAND Corporation</rights>
     <author>
       <name>RAND Corporation</name>
     </author>
     <id>http://www.rand.org/topics/statistical-analysis-methodology.html</id>
	 
 <entry>
   <title type="html">Examining the Presidential Election With a Different Kind of Poll</title>
   <id>http://www.rand.org/blog/2012/09/examining-the-presidential-election-with-a-different.html</id>
   <published>Sep 7, 2012</published>
   <updated>Sep 7, 2012</updated>
   <summary type="html">RAND is introducing a new method of forecasting the outcomes of U.S. Presidential elections. Rather than repeatedly poll new random samples, this poll uses panel of 3,500 people who are asked the same questions every week. The results illustrate the effects of election season variables.</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/blog/2012/09/examining-the-presidential-election-with-a-different.html" />
   
 </entry>
 
 <entry>
   <title type="html">Introduction to Matrix Analysis</title>
   <id>http://www.rand.org/pubs/commercial_books/CB142.html</id>
   <published>Jan 1, 1995</published>
   <updated>Jan 1, 1995</updated>
   <summary type="html">Written in lucid, concise terms, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods.</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/commercial_books/CB142.html" />
   
 </entry>
 
 <entry>
   <title type="html">Games of Strategy: Theory and Applications</title>
   <id>http://www.rand.org/pubs/commercial_books/CB149-1.html</id>
   <published>Oct 8, 2007</published>
   <updated>Oct 8, 2007</updated>
   <summary type="html">&lt;p&gt;Classic work from 1961 discusses basic concepts of game theory and its applications for military, economic, and political problems, as well as its usefulness in decisionmaking in business, operations research, and behavioral science. &lt;/p&gt;
</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/commercial_books/CB149-1.html" />
   
 </entry>
 
 <entry>
   <title type="html">Public Policy and Statistics: Case Studies from RAND</title>
   <id>http://www.rand.org/pubs/commercial_books/CB391.html</id>
   <published>Jan 1, 2000</published>
   <updated>Jan 1, 2000</updated>
   <summary type="html">This casebook describes the varied analytical techniques and substantive applications that typify how statistical thinking has been applied at RAND over the past two decades.</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/commercial_books/CB391.html" />
   
 </entry>
 
 <entry>
   <title type="html">Some Significance Tests for the Median Which Are Valid Under Very General Conditions</title>
   <id>http://www.rand.org/pubs/external_publications/EP19490301.html</id>
   <published>Mar 1, 1949</published>
   <updated>Mar 1, 1949</updated>
   <summary type="html">Order statistics are used to derive significance tests for the population median which are valid under very general conditions. These tests are approximately as powerful as the student t-test for small samples from a normal population. Also the application of a test requires very little computation. Thus the tests derived compare very favorably with the t-test for small sets of observations.</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19490301.html" />
   
 </entry>
 
 <entry>
   <title type="html">On the Range-Midrange Test and Some Tests with Bounded Significance Levels</title>
   <id>http://www.rand.org/pubs/external_publications/EP19490601.html</id>
   <published>Jun 1, 1949</published>
   <updated>Jun 1, 1949</updated>
   <summary type="html">This paper is divided into two parts. The significance tests investigated in Part I concern the population mean and are based on the quantity [(sample midrange)-(hypothetical mean)]/(sample range). The case in which the observations are a sample from a normal population is considered in detail. The tests investigated are summarized.</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19490601.html" />
   
 </entry>
 
 <entry>
   <title type="html">Applications of Some Significance Tests for the Median Which Are Valid Under Very General Conditions</title>
   <id>http://www.rand.org/pubs/external_publications/EP19490901.html</id>
   <published>Jan 9, 1949</published>
   <updated>Jan 9, 1949</updated>
   <summary type="html">Order statistics were used to derive some tests for population median which have significance levels either exact or bounded under general conditions.</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19490901.html" />
   
 </entry>
 
 <entry>
   <title type="html">Large-sample Tests and Confidence Intervals for Mortality Rates</title>
   <id>http://www.rand.org/pubs/external_publications/EP19500601.html</id>
   <published>Jan 1, 1950</published>
   <updated>Jan 1, 1950</updated>
   <summary type="html">&lt;p&gt;A presentation of methods which determine some valid large sample tests and confidence intervals for the mortality rate.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19500601.html" />
   
 </entry>
 
 <entry>
   <title type="html">A Large Sample T-Statistic Which Is Insensitive to Non-Randomness</title>
   <id>http://www.rand.org/pubs/external_publications/EP19510301.html</id>
   <published>Jan 1, 1951</published>
   <updated>Jan 1, 1951</updated>
   <summary type="html">&lt;p&gt;Most of the well known significance tests and confidence intervals for the population mean are based on the assumption of a random sample. This paper considers how the significance levels and confidence coefficients of the commonly used class of tests and intervals based on the standard Student t-statistic are changed when the random sample requirement is violated and the number of observations is large.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19510301.html" />
   
 </entry>
 
 <entry>
   <title type="html">The Logical Principles of a New Kind of Binary Counter</title>
   <id>http://www.rand.org/pubs/external_publications/EP19531001.html</id>
   <published>Jan 1, 1953</published>
   <updated>Jan 1, 1953</updated>
   <summary type="html">&lt;p&gt;In a shifting register or binary counter, there is a real logical requirement for a short term or temporary storage facility.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19531001.html" />
   
 </entry>
 
 <entry>
   <title type="html">On a Generalization of Classical Probability Theory, I.: Markoff Chains</title>
   <id>http://www.rand.org/pubs/external_publications/EP19531002.html</id>
   <published>Jan 1, 1953</published>
   <updated>Jan 1, 1953</updated>
   <summary type="html">&lt;p&gt;The purpose of this paper is to present a further extension of the concept of a probability.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19531002.html" />
   
 </entry>
 
 <entry>
   <title type="html">On the Order of Convergence of Solutions of a Difference Equation to a Solution of the Diffusion Equation</title>
   <id>http://www.rand.org/pubs/external_publications/EP19531201.html</id>
   <published>Jan 1, 1953</published>
   <updated>Jan 1, 1953</updated>
   <summary type="html">&lt;p&gt;The authors treated a special differential equation with very simple boundary conditions and considered one of many possible difference equations. The results may give an indication of the kind of results to be expected with more complicated problems.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19531201.html" />
   
 </entry>
 
 <entry>
   <title type="html">On the Convergence of a Solution of a Difference Equation to a Solution of the Equation of Diffusion</title>
   <id>http://www.rand.org/pubs/external_publications/EP19540201.html</id>
   <published>Jan 1, 1954</published>
   <updated>Jan 1, 1954</updated>
   <summary type="html">&lt;p&gt;The authors investigate how solutions of a sequence of difference equations converge.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19540201.html" />
   
 </entry>
 
 <entry>
   <title type="html">Calculation of the Resonant Properties of Electrical Cavities</title>
   <id>http://www.rand.org/pubs/external_publications/EP19540301.html</id>
   <published>Jan 1, 1954</published>
   <updated>Jan 1, 1954</updated>
   <summary type="html">&lt;p&gt;It is shown that the resonant properties of axially symmetric cavities can be calculated using data obtained on an analogous static system in an electrolytic tank.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19540301.html" />
   
 </entry>
 
 <entry>
   <title type="html">Problem of Overlapping Lines in the Theory of Pressure Broadening</title>
   <id>http://www.rand.org/pubs/external_publications/EP19580701.html</id>
   <published>Jan 1, 1958</published>
   <updated>Jan 1, 1958</updated>
   <summary type="html">&lt;p&gt;The theory of pressure broadening is re-examined, in order to include the possibility of overlapping lines, which are a regular feature of pressure broadening in an ionized gas.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19580701.html" />
   
 </entry>
 
 <entry>
   <title type="html">General Impact Theory of Pressure Broadening</title>
   <id>http://www.rand.org/pubs/external_publications/EP19581101.html</id>
   <published>Jan 1, 1958</published>
   <updated>Jan 1, 1958</updated>
   <summary type="html">&lt;p&gt;The work of two previous papers is extended and a theory of pressure broadening is developed which treats the perturbers quantum mechanically and allows for inelastic collisions, degeneracy, and overlapping lines. The impact approximation is used.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19581101.html" />
   
 </entry>
 
 <entry>
   <title type="html">Homicides and Suicides of World War II: A Critical Analysis of 656 Homicides and 1179 Suicides</title>
   <id>http://www.rand.org/pubs/external_publications/EP19600101.html</id>
   <published>Jan 1, 1960</published>
   <updated>Jan 1, 1960</updated>
   <summary type="html">&lt;p&gt;This study demonstrated that military homicides and suicides tended to conform to certain patterns resembling in many respects those of civilian groups.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19600101.html" />
   
 </entry>
 
 <entry>
   <title type="html">On Relevance, Probabilistic Indexing and Information Retrieval</title>
   <id>http://www.rand.org/pubs/external_publications/EP19600702.html</id>
   <published>Jan 1, 1960</published>
   <updated>Jan 1, 1960</updated>
   <summary type="html">&lt;p&gt;This paper reports on a novel technique for literature indexing and searching in a mechanized library system.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19600702.html" />
   
 </entry>
 
 <entry>
   <title type="html">Basic Principles and Technical Variations in Sentence-Structure Determination</title>
   <id>http://www.rand.org/pubs/external_publications/EP19610001.html</id>
   <published>Jan 1, 1961</published>
   <updated>Jan 1, 1961</updated>
   <summary type="html">&lt;p&gt;Comparison of alternative methods of sentence structure determination can take one method as a base and show the changes required to convert it into another. Basic principles of the RAND method include (i) isolation of grammatic detail from the structure of the computer program and (ii) postulation of a certain word-order rule.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19610001.html" />
   
 </entry>
 
 <entry>
   <title type="html">Elasticities of Substitution and Constant-Output Demand Curves for Labor</title>
   <id>http://www.rand.org/pubs/external_publications/EP19610601.html</id>
   <published>Jan 1, 1961</published>
   <updated>Jan 1, 1961</updated>
   <summary type="html">&lt;p&gt;This paper presents a method for estimating the elasticity of demand for labor with output held constant.&lt;/p&gt;</summary>
   <link rel="alternate" type="text/xhtml" hreflang="en" title="Read More" href="http://www.rand.org/pubs/external_publications/EP19610601.html" />
   
 </entry>
 
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