Difference between revisions of "Manuals/calci/MCORREL"
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*Here x and y are viewed as the independent variables and z is the dependent variable. | *Here x and y are viewed as the independent variables and z is the dependent variable. | ||
*This function will give the result as error when | *This function will give the result as error when | ||
| − | 1.<math>Array of Arrays</math> are non-numeric or different number of data points. | + | 1.<math>Array of Arrays</math> are non-numeric or different number of data points. |
| − | 2.<math>Array of Arrays </math>is empty | + | 2.<math>Array of Arrays </math>is empty |
| − | 3.The denominator value is zero. | + | 3.The denominator value is zero. |
==Examples== | ==Examples== | ||
| + | 1. MCORREL([[10,12,14],[19,43,18],[20,35,90]]) | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 1 || -0.035325913054179946 || 0.9496528264568825 | ||
| + | |- | ||
| + | | -0.035325913054179946 || 1 || -0.3466559828504114 | ||
| + | |- | ||
| + | | 0.9496528264568825 || -0.3466559828504114 || 1 | ||
| + | |} | ||
| + | 2. MCORREL([[10,19,18],[-24,90.3,25]]) | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 1 || 0.8755550584018907 | ||
| + | |- | ||
| + | | 0.8755550584018907 || 1 | ||
| + | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|v=L3Nx7WpozCA|280|center|Multiple Correlation}} | ||
==See Also== | ==See Also== | ||
Latest revision as of 11:58, 25 April 2019
MCORREL (ArrayOfArrays)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ArrayOfArrays} is set of values.
Description
- This function is showing the result for multiple correlation.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle MCORREL (ArrayOfArrays)} ,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Arrayofarrays} are set of values.
- Correlation is a statistical technique which shows the relation of strongly paired variables.When one variable is related to a number of other variables, the correlation is not simple.
- It is multiple if there is one variable on one side and a set of variables on the other side.
- If we have a series of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n} measurements of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y} written as Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x_i} and Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle y_{i}} where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i = 1, 2,...n} then the Sample Correlation Coefficient is:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle CORREL(X,Y)= r_{xy}= \frac{\sum_{i=1}^n (x_i-\bar x)(y_i-\bar y)}{\sqrt{ \sum_{i=1}^n (x_i-\bar x)^2 \sum_{i=1}^n (y_i-\bar y)^2}}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bar x} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bar y} are the sample means of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y} .
- The above formula is used for simple correlation.
- Now consider the variables x,y and z we define the multiple correlation as:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R_{zxy}=\sqrt{\frac{r_{xz}^2+r_{yz}^2-2 r_{xz} r_{yz} r_{xy}}{1-r_{xy}^2}}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r_{xy}} is the correlation of x and y.
- is the correlation of y and z.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r_{zx}} is the correlation of z and x.
- Here x and y are viewed as the independent variables and z is the dependent variable.
- This function will give the result as error when
is the correlation of y and z.1.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array of Arrays}
are non-numeric or different number of data points.
2.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array of Arrays }
is empty
3.The denominator value is zero.
Examples
1. MCORREL([[10,12,14],[19,43,18],[20,35,90]])
| 1 | -0.035325913054179946 | 0.9496528264568825 |
| -0.035325913054179946 | 1 | -0.3466559828504114 |
| 0.9496528264568825 | -0.3466559828504114 | 1 |
2. MCORREL([[10,19,18],[-24,90.3,25]])
| 1 | 0.8755550584018907 |
| 0.8755550584018907 | 1 |