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45 Cards in this Set
- Front
- Back
The chi-square test of independence is . . .
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The hypothesis test appropriate when the independent variable and dependent variable are categorical
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When two variables are statistically dependent
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The independent variable has predictive power over the dependent variable
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The first step in completing a chi-square procedure is
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The creation of the Ho and H1
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What is the formula for degrees of freedom in the chi-square?
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df = (r-1)(c-1)
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In the chi-square, the row and column totals are referred to as what? |
Marginals |
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A researcher has established α=.05. If X2obt > X2crit, then the probability of obtaining this particular X2obt value by chance alone is . . . |
Less than .05 |
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What does a researcher do when the results of a hypothesis test reveal that X2obt > X2crit? |
Rejects the Ho
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In Cramer’s V, a positive relationship means
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That as the independent variable increases, so does the dependent variable
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What factor in a study dictates the measure of association that can be used
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The level of measurement of the independent variable and dependent variable
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Statistical independence means that knowing which category a person or object falls into on the independent variable does not aid in the prediction of their placement on the dependent
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true |
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In a chi-square analysis, df is not based on sample size but on the size of the crosstabs table.
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true |
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The empirical values that appear in the crosstabs table produced from sample-derived data are known as expected frequencies.
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False
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While the chi-square test indicates whether a statistically significant relationship between two variables exists, it does not allude to the strength or magnitude of that relationship.
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true |
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While statistical significance is important, it is the magnitude of the relationship that tells how meaningful the association is in practical terms.
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true |
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It is possible to have a statistically significant relationship but a corresponding measure of association that is very low.
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true |
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A researcher wants to do an analysis with an independent variable that is categorical and has three classes. The dependent variable is continuous. Which test is appropriate?
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ANOVA
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A professor’s research assistant has a penchant for cutting corners. Due to the rather complex nature of the ANOVA test the professor has asked the assistant to perform, he has opted, instead, to simply run a series of t tests. Why might this be a bad decision for our assistant?
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B. The family wise error rate will increase, making the work fraught with unacceptably high levels of error.
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Which of the following are the types of variances analyzed by an ANOVA?
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D. Between-group and within-group
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Which of the following is the statistic for the ANOVA?
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A. F
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When true differences between groups substantially outweigh the random fluctuations present within each group, the ANOVA statistic . . .
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D. Will be large
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When between-group variance is small relative to within-group variance, the ANOVA statistic will . . .
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A. Be small
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In ANOVA, the null hypothesis is rejected when . . .
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B. The F statistic exceeds the critical value
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Which of the following is the correct Ho for the ANOVA?
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B. Ho: μ1 = μ2 = μ3
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The ratio of between-group variance to within-group variance is also known as what?
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C. F statistic
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The ANOVA is based upon an examination of variances.
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True |
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Due to the complexity of the ANOVA, researchers can, if they so choose, opt to perform a series of t tests to expedite their calculations.
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False |
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In ANOVA, there are three types of variances analyzed.
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False |
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Within-group variance is driven by random variations between people or objects in the group and is a measure of error.
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true |
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dfB = k - 1 is the formula for the calculation of the degrees of freedom between groups in an ANOVA.
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true |
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In ANOVA, it is possible to have negative values for the sums of squares and the mean squares.
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False
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A range of values that span a point estimate that is calculated so as to have a certain probability of containing the population parameter is called a . . .
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Confidence interval
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It is common practice among those in the scientific fields to set confidence levels at what?
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.95 (95%) or .99 (99%)
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What is a critical value?
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The value of z or t associated with a given alpha level
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The fact that every sample that is drawn, and every sample that could potentially be drawn, has its own unique set of descriptive statistics, is called . . .
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Sampling error
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A sample statistic, such as a mean or proportion that is used to estimate a population parameter, is referred to as what?
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A point estimate
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What acts as a sort of “bubble” that introduces flexibility into the estimate of the population parameter?
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A confidence interval
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A researcher has decided upon an alpha level of α = .05. Based on this, what is the chance that the confidence level the researcher calculates will not include the true population parameter?
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5% |
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If a researcher had N = 120, which distribution would be used to construct a confidence interval?
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z
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If a confidence level is 95%, what is the corresponding z-score?
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±1.96
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The variation in sample statistics such as means and proportions precludes direct inference from a sample to a population.
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True
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The alpha level itself is never used in the formula for the confidence interval. It is simply used to help determine the critical value.
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True
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A 99% confidence level would produce a confidence interval that has a greater chance than a 95% confidence level of being correct, but would be wider and less precise.
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True
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In the construction of confidence intervals, the choice of the level of confidence is up to the discretion of the researcher.
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True
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Alpha (α) is the probability that the confidence interval will not contain the true population parameter.
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True
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Confidence levels are established after the construction of the confidence intervals.
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False
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