Research Methods Y2 - Probability and Significance Flashcards

1
Q

What is probability in statistics?

A

A measure of the likelihood that a particular event will occur, ranging from a statistical impossibility (0) to a statistical certainty (1).

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2
Q

What is significance in statistics?

A

A statistical term that tells us how sure we can be that a difference or correlation exists. A significant result means the researcher can reject the null hypothesis.

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3
Q

What is a critical value?

A

The numerical boundary or cut-off point between acceptance and rejection of the null hypothesis when testing a hypothesis.

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4
Q

What is a Type I error?

A

The incorrect rejection of a true null hypothesis, also known as a false positive.

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5
Q

What is a Type II error?

A

The failure to reject a false null hypothesis, also known as a false negative.

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6
Q

What is the null hypothesis?

A

The null hypothesis states there is “no difference” or “no effect” between conditions or groups. It is the default position that researchers aim to test.

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7
Q

What is the alternative hypothesis?

A

The alternative hypothesis predicts that there will be a difference or effect between conditions or groups. It is what the researcher aims to support.

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8
Q

What is the conventional level of significance in psychology?

A

The conventional level of significance in psychology is 0.05 or 5%. This means there is a 5% or less probability that the result occurred by chance.

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9
Q

What does a 5% significance level mean?

A

It means there is a 5% or less chance that the observed result occurred due to random variation, and the researcher can reject the null hypothesis.

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10
Q

What is a calculated value?

A

The numerical result obtained from a statistical test, which is compared to the critical value to determine significance.

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11
Q

How is the critical value determined?

A

The critical value is determined based on the level of significance (e.g., 0.05), the number of participants (N), and the degrees of freedom (df) for the test.

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12
Q

What is the difference between a one-tailed and two-tailed test?

A

A one-tailed test is used for a directional hypothesis, while a two-tailed test is used for a non-directional hypothesis. Two-tailed tests are more conservative.

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13
Q

What is a Type I error more likely to occur?

A

A Type I error is more likely if the significance level is too lenient (e.g., 10% instead of 5%), increasing the chance of falsely rejecting the null hypothesis.

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14
Q

When is a Type II error more likely to occur?

A

A Type II error is more likely if the significance level is too stringent (e.g., 1% instead of 5%), increasing the chance of failing to reject a false null hypothesis.

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15
Q

Why do psychologists use the 5% significance level?

A

The 5% significance level balances the risk of making Type I and Type II errors, providing a reasonable standard for claiming statistical significance.

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16
Q

What is the relationship between significance level and confidence?

A

A lower significance level (e.g., 1%) increases confidence in the result but also increases the risk of a Type II error. A higher significance level (e.g., 5%) reduces this risk but increases the chance of a Type I error.

17
Q

What is the role of statistical tables in hypothesis testing?

A

Statistical tables provide critical values for comparison with calculated values, helping researchers determine whether to reject or retain the null hypothesis.

18
Q

What is the difference between parametric and non-parametric tests in terms of significance?

A

Parametric tests (e.g., t-tests, Pearson’s r) require interval data and assume a normal distribution, while non-parametric tests (e.g., Mann-Whitney, Wilcoxon) are used for ordinal or nominal data and do not assume normality.

19
Q

What is the importance of degrees of freedom (df) in statistical testing?

A

Degrees of freedom are used to determine the critical value from statistical tables and reflect the number of values in the final calculation of a statistic that are free to vary.

20
Q

What is the impact of sample size (N) on statistical significance?

A

Larger sample sizes increase the likelihood of detecting a significant effect, as they reduce the impact of random variation and provide more reliable results.