Difference between revisions of "Probability graph paper"
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| − | A specially scaled graph paper which is so constructed that the graph of the [[ | + | A specially scaled graph paper which is so constructed that the graph of the [[normal distribution]] function is represented on it by a straight line. This is achieved by varying the scale of the vertical axis (see Fig.). This "rectification" property is the principle of verification whether or not a given sample is drawn from a normal distribution: If the empirical distribution function, plotted on probability graph paper, approximates a straight line, it may be reliably concluded that the population out of which the sample has been chosen has approximately a normal distribution. The advantage of this method consists in the fact that normality of a distribution may be deduced from a sample without knowledge of the parameters of the hypothetical distribution. The straight line represents the normal distribution function with average 100 and standard deviation 8. |
<img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/p074910a.gif" /> | <img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/p074910a.gif" /> | ||
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====References==== | ====References==== | ||
<table><TR><TD valign="top">[1]</TD> <TD valign="top"> N. Arley, K.R. Buch, "Introduction to the theory of probability and statistics" , Wiley (1950)</TD></TR><TR><TD valign="top">[2]</TD> <TD valign="top"> W.J. Dixon, F.J. Massey, "Introduction to statistical analysis" , McGraw-Hill (1957)</TD></TR></table> | <table><TR><TD valign="top">[1]</TD> <TD valign="top"> N. Arley, K.R. Buch, "Introduction to the theory of probability and statistics" , Wiley (1950)</TD></TR><TR><TD valign="top">[2]</TD> <TD valign="top"> W.J. Dixon, F.J. Massey, "Introduction to statistical analysis" , McGraw-Hill (1957)</TD></TR></table> | ||
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Latest revision as of 19:52, 3 May 2023
normal
A specially scaled graph paper which is so constructed that the graph of the normal distribution function is represented on it by a straight line. This is achieved by varying the scale of the vertical axis (see Fig.). This "rectification" property is the principle of verification whether or not a given sample is drawn from a normal distribution: If the empirical distribution function, plotted on probability graph paper, approximates a straight line, it may be reliably concluded that the population out of which the sample has been chosen has approximately a normal distribution. The advantage of this method consists in the fact that normality of a distribution may be deduced from a sample without knowledge of the parameters of the hypothetical distribution. The straight line represents the normal distribution function with average 100 and standard deviation 8.
Figure: p074910a
References
| [1] | N. Arley, K.R. Buch, "Introduction to the theory of probability and statistics" , Wiley (1950) |
| [2] | W.J. Dixon, F.J. Massey, "Introduction to statistical analysis" , McGraw-Hill (1957) |
Probability graph paper. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Probability_graph_paper&oldid=53930