fx Cognitive Reflectivity Score Cognitive Reflectivity Gray-matter density Score 2 0.26 -0.07 0.59 -0.023 0.89 -0.008 1.26 -0.009 1.56 -0.042 1.09 -0.009 1.98 -0.031 2.12 -0.029 10 2.24 -0.008 11 2.9 -0.023 12 2.32 -0.009 13 2.75 -0.008 14 3.25 -0.006 15 3.85 0.022 16 3.5 0.035 17 2.55 0.013 18 2.5 0.042 19 3.11 0.036 20 3.18 0.009 21 3.52 0.062 22 3.7 0.049 23 4.1 0.033
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Determine if there is an association between the cognitive strategy, cognitive reflectivity and the gray matter density of the ventral medial prefrontal cortex in the 22 participants? Here is a link to the data set collected by the researchers.
Plot the data and calculate the
Use the Statistical Table C found in the Beetle Book on page 709-710 to find the critical t-value (0.05).
Use formulas,
=TDIST(t value,degrees of freedom,tails)
to produce a p value for any type of a t-test from a data set
=SQRT((1-r)/degrees of freedom)
to produce the standard error of the correlation coefficient from a calculated correlation coefficient (r) statistic
=CORREL(array1, array2)
to produce a r value from a calculated correlation coefficient statistic
=IF(t value < critical t,"reject","accept")
to determine from the calculated statistics, if the Ho is accepted or rejected
=IF(p-value<0.05,"yes","no")
to determine from the calculated statistics, if the p-value is significant or not
the t-test of
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