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  1. Statistical tests allow psychologists to work out the probability that their results could have occurred by chance, and in general psychologists use a probability level of 0.05. This means that there is a 5% probability that the results occurred by chance.

  2. We can first compute the prior odds – that is, the odds before we knew that the person had tested positively. An odds ratio is an example of what we will later call an effect size, which is a way of quantifying how relatively large any particular statistical effect is.

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  3. Oct 13, 2023 · The p-value in statistics quantifies the evidence against a null hypothesis. A low p-value suggests data is inconsistent with the null, potentially favoring an alternative hypothesis. Common significance thresholds are 0.05 or 0.01.

  4. A more detailed description and further examples of each worksheet can be found in Beck, J. S. Cognitive Behavior Therapy: Basics and Beyond, 3rd ed. (2020), and Beck, J. S. Cognitive Therapy for Challenging

  5. Let's begin our probability cheat sheet by exploring the concept of probability. Definition: Probability is a mathematical concept for measuring the likelihood of an event occurring. In other words, probability quantifies how likely an event is to occur on a scale from 0 to 1.

  6. Odds is the probability of an event occurring divided by the probability of it not occurring (e.g., 1 to 5 chance of a six in a dice throw). What Is the Probability of an Event? There are two types of probability, empirical and classical.

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  8. To calculate the probability of an event, which here is defined as rolling a 1 on an unbiased die, we need to know two things: how many outcomes satisfy the criteria of our event (stated differently, how many outcomes would count as what we are looking for) and the total number of outcomes possible.