Exam 11: Testing for Relationships
Statistical tests were designed to test for relationships and differences on normally distributed variables.
True
Describe the limitations of correlation as a statistical test.
Correlation as a statistical test has several limitations that should be taken into consideration when interpreting the results.
Firstly, correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other. There could be other factors at play that are influencing the relationship between the variables.
Secondly, correlation coefficients can be influenced by outliers in the data. A few extreme data points can greatly affect the strength and direction of the correlation, leading to potentially misleading results.
Additionally, correlation measures only linear relationships between variables. If the relationship between the variables is non-linear, the correlation coefficient may not accurately capture the strength of the relationship.
Furthermore, correlation does not account for confounding variables. There may be other variables that are influencing the relationship between the two variables being studied, and correlation alone cannot control for these potential confounders.
Finally, correlation coefficients can be sensitive to the scale of measurement. Different units of measurement for the variables can lead to different correlation coefficients, making it difficult to compare the strength of relationships across different studies or datasets.
In conclusion, while correlation can be a useful tool for exploring relationships between variables, it is important to be aware of its limitations and to interpret the results with caution. It is often necessary to complement correlation analysis with other statistical tests and consider the broader context of the research question.
To use a correlation as a statistical test, each participant must have provided measurements on two separate variables.
True
Statistically significant results ensure practical application of the results.
Correlations can also be computed for variables based on ordinal or nominal data. These tests include:
Describe the steps the researcher takes to interpret the regression statistic once it can be determined that the test is significant.
Statistical tests for relationship are limited to two variables.
A significant r value would cause the researcher to retain the null hypothesis.
Regression is of particular advantage to communication researchers because it allows researchers to study variables that cannot be experimentally manipulated.
Explain the phrase "variance accounted for"as it would be used with a test of regression.
Describe how the researcher interprets a correlation if the .05 significance level is not achieved.
Researchers use inferential statistics to determine if the relationship observed in the data is stronger than the relationship that might occur due to chance.
Regardless of how the research hypothesis is stated, there is a complementary null hypothesis.
Because there is no theoretical limit to the number of predictor variables tested in multiple regression, it is common for researchers to include 10 or more.
Tests for relationship are most commonly computed for variables of continuous level data.
Multiple regression allows the researcher to determine the relative importance of each variable to the regression relationship.
If the data for the variables being tested are not normally distributed, the statistical test:
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