correlation
(noun)
A reciprocal, parallel or complementary relationship between two or more comparable objects.
Examples of correlation in the following topics:
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Correlation and Causation
- A correlation can be positive/direct or negative/inverse.
- Ice cream consumption is positively correlated with incidents of crime.
- It is important to not confound a correlation with a cause/effect relationship.
- This diagram illustrates the difference between correlation and causation, as ice cream consumption is correlated with crime, but both are dependent on temperature.
- Thus, the correlation between ice cream consumption and crime is spurious.
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Aging and Health
- For instance, maintaining a positive attitude has been shown to be correlated with better health among the elderly.
- Older individuals with more positive attitudes and emotions engage in less risky behavior and have lower levels of stress, both of which are correlated with better health.
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CONCOR
- CONCOR begins by correlating each pair of actors (as we did above).
- Each row of this actor-by-actor correlation matrix is then extracted, and correlated with each other row.
- CONCOR then divides the data into two sets on the basis of these correlations.
- The first panel shows the correlations of the cases.
- We included the transpose, so these correlations are based on both sending and receiving of ties.
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Valued relations
- Pearson correlations are often used to summarize pair-wise structural equivalence because the statistic (called "little r") is widely used in social statistics.
- Figure 13.4 shows the correlations of the ten Knoke organization's profiles of in and out information ties.
- We are applying correlation, even though the Knoke data are binary.
- The UCINET algorithm Tools>Similarities will calculate correlations for rows or columns.
- Pearson correlations of rows (sending) for Knoke information network
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Correlation between two networks with the same actors
- Or, it may be that the two relations have nothing to do with one another (no correlation).
- Figure 18.8 shows the results for the correlation between the Knoke information and monetary exchange networks.
- The Pearson correlation is a standard measure when both matrices have valued relations measured at the interval level.
- That is, what would the correlation (or other measure) be, on the average, if we matched random actors?
- Association between Knoke information and Knoke monetary networks by QAP correlation
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Introduction to comparing two relations for the same set of actors
- The basic question of bivariate descriptive statistics applied to variables is whether scores on one attribute align (co-vary, correlate) with scores on another attribute, when compared across cases.
- That is, do the relations correlate?
- Is there a correlation between the ties that are present in one network, and the ties that are present in another?
- This kind of question is analogous to the correlation between the scores on two variables in attribute analysis.
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Social Correlates of Religion
- There are correlations between the degree of religious belief in society and social factors like mortality rates, wealth and happiness.
- The correlation between higher rates of happiness and religious affiliation has been demonstrated by several studies.
- For instance, of 498 studies published in peer-reviewed journals, a large majority showed a positive correlation between religious commitment and higher levels of perceived well-being and self-esteem and lower levels of hypertension, depression and clinical delinquency.
- Research indicates that in prosperous democracies, higher rates of belief in and worship of a creator correlate with higher rates of homicide, juvenile and early adult mortality, STD infection rates, teen pregnancy, and abortion.
- The United States is almost always the most dysfunctional of the developed democracies, sometimes spectacularly so...The view of the U.S. as a 'shining city on the hill' to the rest of the world is falsified when it comes to basic measures of societal health. " In other words, the U.S., a theistic and prosperous nation, demonstrates that religiosity doesn't necessarily correlate with creating cultures that reduce death.
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Analyzing Data and Drawing Conclusions
- But they must be cautious not to mistake correlation for causation.
- To better understand the difference between correlation and causation, consider this example.
- This relationship is a correlation and it does not necessarily imply causation.
- This may be a causal relationship, not just correlation.
- This mock newscast gives three competing interpretations of the same survey findings and demonstrates the dangers of assuming that correlation implies causation.
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Religion and Social Support
- According to many social science studies, psychological well-being is positively correlated with religious engagement.
- A review of 498 peer-review academic studies revealed that a large majority of them showed a positive correlation between religious commitment and higher levels of perceived well-being of self-esteem.
- These same studies revealed a positive correlation between religious involvement and lower levels of hypertension, depression, and clinical delinquency.
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The Role of Age
- Age is an important factor in U.S. politics because there is a correlation between age and rates of political participation and because it is a determining factor in the issues people care about.
- Given that there is a correlation between age and the issues relevant to those populations, some organizations have capitalized on these relationships in order to push political agendas.