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Bayesian Statistics
Bayesian statistics is an approach to inferential statistics where a researcher specifies the prior probability that the null hypothesis and alternative hypotheses are true before conducting a study. Once the study is conducted, the probabilities are updated based on the newly collected data. This approach offers a potential alternative to traditional null hypothesis testing by providing a logical framework for quantifying uncertainty using probability distributions.
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Research Methods in Psychology - 4th American Edition @ KPU
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Statistics References
Data science is interdisciplinary
Common statistical paradoxes
Probability Theory
Bayesian Statistics
Components of Statistical Analysis
Descriptive Statistics
Statistical Power
Arbitrariness of the p-value Threshold
Bayesian Statistics
Type I Error
Type II Error
In the context of psychological research, which statement best defines a null hypothesis?
If a researcher predicts that caffeine consumption increases alertness, the null hypothesis for this study would state that there is no relationship between caffeine consumption and alertness.
A team of researchers is designing several psychological studies. Match each specific research objective to the corresponding Null Hypothesis (H₀) that the researchers must assume before collecting data.
In psychological research, evaluating a new theory requires a disciplined logical process starting from the Null Hypothesis (). Using the logic of the null as the 'default' position (as seen in the provided image), arrange the steps below to reflect the logical sequence of evaluating a scientific claim.
You are designing a psychological study to investigate the relationship between 'Sleep Quality' and 'Academic Performance' in college students. To establish the necessary logical starting point for your statistical analysis (as illustrated in the provided diagram), which of the following null hypotheses () would you create for your study?
A researcher is investigating whether 'Classical Music' affects 'Concentration Scores' by comparing a group that listens to music with a group that sits in silence. According to the analytical logic of the null hypothesis (H₀), if the researcher assumes there is no relationship between music and concentration, then the numerical value of the difference between the population mean of the music group and the population mean of the silent group is assumed to be _____.
In psychological research, the _____ hypothesis is a formal statement asserting that no relationship exists between the two measured items.
A clinical psychologist is evaluating a new therapy for depression by measuring therapy attendance (number of sessions) and depression severity scores. The null hypothesis for this study would state that there is no relationship between therapy attendance and depression severity.
Match each statistical concept related to hypothesis testing with its correct definition or description based on the logic of the null hypothesis.
Order the logical steps a researcher takes when evaluating a study's results using null hypothesis testing, from the initial assumption to the final decision.
Learn After
Statistical Rethinking: A Bayesian Course with Examples in R and STAN (2nd edition)
Concepts in Bayesian Statistics
When using Bayesian statistics, what must a researcher explicitly specify before conducting a study?
In an approach to inferential statistics that begins by assigning initial probabilities to competing hypotheses, those probability estimates remain fixed and do not change once new data from a study are collected.
A psychology researcher wants to use a Bayesian approach to study whether mindfulness training reduces test anxiety. Arrange the following steps in the correct order as the researcher carries out this Bayesian analysis.
A psychologist uses a Bayesian approach to investigate whether a specific breathing technique reduces heart rate during public speaking. Match each component of the psychologist's research process with its corresponding role in the Bayesian framework.
A neuropsychologist is developing a new diagnostic model to determine the probability that a patient has a specific memory disorder. To construct this model using a Bayesian framework that accounts for both existing knowledge and new diagnostic data, which of the following architectures should the researcher implement?
A psychology researcher wants to understand the structure of Bayesian statistics as an alternative to traditional null hypothesis testing. Match each core concept of the Bayesian framework with the statement that best describes its role.
A researcher is critiquing the use of all-or-nothing labels (such as 'effect' or 'no effect') as being too simplistic for complex psychological research. To provide a more nuanced evaluation of evidence, the researcher advocates for a Bayesian approach because it provides a logical framework for the _____ of uncertainty.
In a Bayesian approach, the initial probability specified for a hypothesis before conducting a study is called the _____.
In Bayesian statistics, the prior probability that a researcher assigns to the null hypothesis before collecting data serves the same purpose as the alpha (α) significance level in traditional null hypothesis significance testing, because both are pre-study numerical values that determine whether the null hypothesis will ultimately be rejected.
A faculty advisor is reviewing a student's research report that claims to use a Bayesian statistical approach. To evaluate whether the student implemented and justified the Bayesian framework correctly, the advisor identifies five criteria to examine. Arrange these evaluative criteria in the logical order in which they should be addressed during the review.