Hanbury Brown and Twiss effect: Difference between revisions

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In [[statistics]], the '''Kuder–Richardson Formula 20 (KR-20)''' first published in 1937<ref>Kuder, G. F., & Richardson, M. W. (1937). The theory of the estimation of test reliability. ''Psychometrika, 2''(3), 151–160.</ref> is a measure of internal consistency [[Reliability (statistics)|reliability]] for measures with [[dichotomous]] choices. It is analogous to [[Cronbach's alpha|Cronbach's α]], except Cronbach's α is also used for non-dichotomous (continuous) measures.<ref>Cortina, J. M., (1993). What Is Coefficient Alpha? An Examination of Theory and Applications. ''Journal of Applied Psychology, 78''(1), 98–104.</ref> It is often claimed that a high KR-20 coefficient (e.g., >&nbsp;0.90) indicates a homogeneous [[Test (student assessment)|test]]. However, like Cronbach's α, homogeneity (that is, unidimensionality) is actually an assumption, not a conclusion, of reliability coefficients. It is possible, for example, to have a high KR-20 with a multidimensional scale, especially with a large number of items.  
 
Values can range from 0.00 to 1.00 (sometimes expressed as 0 to 100), with high values indicating that the examination is likely to correlate with alternate forms (a desirable characteristic). The KR-20 may be affected by difficulty of the test, the spread in scores and the length of the examination.
 
In the case when scores are not tau-equivalent (for example when there is not homogeneous but rather examination items of increasing difficulty) then the KR-20 is an indication of the lower bound of internal consistency (reliability).
 
Th formula for KR-20 for a test with ''K'' test items numbered ''i''=1 to ''K'' is
 
:<math>r= \frac{K}{K-1} \left[ 1 - \frac{\sum_{i=1}^K p_i q_i}{\sigma^2_X} \right] </math>
 
where ''p<sub>i</sub>'' is the proportion of correct responses to test item ''i'', ''q<sub>i</sub>'' is the proportion of incorrect responses to test item ''i'' (so that ''p<sub>i</sub>'' + ''q<sub>i</sub>'' = 1), and the variance for the denominator is
 
:<math>\sigma^2_X = \frac{\sum_{i=1}^n (X_i-\bar{X})^2\,{}}{n}.</math>
 
where ''n'' is the total sample size.
 
If it is important to use unbiased operators then the sum of squares should be divided by degrees of freedom (''n''&nbsp;−&nbsp;1) and the probabilities are multiplied by
 
:<math>\frac{n}{n-1}</math>
 
Since [[Cronbach's alpha|Cronbach's α]] was published in 1951, there has been no known advantage to KR-20 over Cronbach. KR-20 is seen as a derivative of the Cronbach formula, with the advantage to Cronbach that it can handle both dichotomous and continuous variables. The KR-20 formula can't be used when multiple-choice questions involve partial credit, and it requires detailed item analysis.<ref>http://chemed.chem.purdue.edu/chemed/stats.html (as of 3/27/2013</ref>
 
==References==
{{reflist|colwidth=30em}}
 
==External links==
*[http://chemed.chem.purdue.edu/chemed/stats.html Statistical analysis of multiple choice exams]
*[http://www.gower.k12.il.us/Staff/ASSESS/4_ch2app.htm Quality of assessment chapter in Illinois State Assessment handbook (1995)]
 
{{DEFAULTSORT:Kuder-Richardson Formula 20}}
[[Category:Comparison of assessments]]
[[Category:Psychometrics]]
[[Category:Educational psychology research methods]]

Latest revision as of 10:43, 31 October 2014

It wasn't that some catastrophic event happened, the relationship just became more work than it was worth. If that doesn't work, try putting boxes in front of turrets to block their sights, or if you have the strength augmentation, pick up the turrets from behind and throw them somewhere. If you do that, you'll get into fights and arguments with your ex and this will only drive him away - and straight to the arms of his new lover. Keep it going over the course of a few days, and start to build a little penpal relationship with him again. If you restrain the physical aspect with him, it will probably drive him nuts.

Most of the girls get themselves some boyfriend instantly after fresh break up. People are generally not attracted to negative, miserable people. This doesn't give you a license to go around and throw a pity party for yourself. Also, all through this succinct period, you will discover to manage your emotions, change your ways, hold your self-respect, and work on your best qualities that are going to make this relationship work the next time. Girls see this good quality of being faithful to one particular yet another as a big turn on.

To others, magic involves slight of hand and has some sort of a solution. Every innocent email you send him, every little message you write on his Facebook wall. Cross the rooftops and make it to the marker, but watch out for a guard that's walking around the air conditioners near the terminal. Just appreciate her decision to break up with you and choose a new boyfriend. Even if your ex is already seeing someone, there are some very tricky ways of winning back your girlfriend.

If you play it easy and put a leash on your emotions you will accomplish the outcome that you desire. If your ex girlfriend or ex boyfriend cared for you when you both were in a relationship, then one thing you need to do now is make him or her miss you. Continue to push these buttons, and continue to learn about him. The friendship you made after breaking up seemed so strong and unbreakable. This clearly shows you the power of the no contact rule and why it's so critical to getting your ex back.

When you efficiently offer with your private emotions, accept the breakup, and let her go, you shift the energy dynamic back in your favor. While you participate in most of these activities, you will be amazed that before you know it you'd have become a much more confident and improved individual altogether. There are specific techniques that will show you exactly what to do and what to say to get your ex lover back in your arms- Especially if you are the only one trying. Although ignoring and avoiding him might seem cruel, it really isn't. You may experience some butterflies in your stomach at first, but it will pass.

If you are you looking for more regarding how to get him back visit our page.