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Related Concept Videos

Expected Frequencies in Goodness-of-Fit Tests01:19

Expected Frequencies in Goodness-of-Fit Tests

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A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the dataset. Suppose the expected frequencies for a dataset are equal such as when predicting the frequency of any number appearing when casting a die. In that case, the expected frequency is the ratio of the total number of observations (n)  to the number of categories (k).
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What is a Frequency Distribution00:51

What is a Frequency Distribution

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A frequency is the number of times a value of the data occurs. The sum of all the frequency values represents the total number of students included in the sample. It is commonly used to group data of quantitative types. Frequency distributions can be displayed in a table, histogram, line graph, dot plot, or pie chart, just to name a few. A histogram is a graphical representation of tabulated frequencies, shown as adjacent rectangles, erected over discrete intervals (bins), with an area equal to...
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Relative Frequency Histogram01:14

Relative Frequency Histogram

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The relative frequency depicts the proportion of data points that have each value. The frequency tells the number of data points that have each value. Like the histogram, a relative frequency histogram also has the same shape with a horizontal scale (the x-axis), but the vertical scale (the y-axis) is marked with relative frequencies (percentages of the whole) instead of actual frequencies. A relative frequency histogram is a graphical representation of a frequency distribution where the...
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Determination of Expected Frequency01:08

Determination of Expected Frequency

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Suppose one wants to test independence between the two variables of a contingency table. The values in the table constitute the observed frequencies of the dataset. But how does one determine the expected frequency of the dataset? One of the important assumptions is that the two variables are independent, which means the variables do not influence each other. For independent variables, the statistical probability of any event involving both variables is calculated by multiplying the individual...
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Relative Frequency Distribution00:55

Relative Frequency Distribution

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A relative frequency distribution is the proportion or fraction of times a value occurs in a data set. To find the relative frequencies, one can divide each frequency by the total number of data points in the sample. It is very similar to a regular frequency distribution, except that instead of reporting how many data values fall in a class, a relative frequency distribution reports the fraction of data values that fall in a class. These fractions or proportions are called relative frequencies...
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Construction of Frequency Distribution01:15

Construction of Frequency Distribution

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A frequency distribution table can be constructed using the steps given below.
First, make a table with two columns—one with the title of the data that needs to be organized, and the other column for frequency. [Draw a third column for tally marks if needed]. Then, take a look at the items given in the data set and decide if an ungrouped frequency distribution table or a grouped frequency distribution table would be more suitable. If there are large sets of different values, then it is...
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Related Experiment Video

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Measuring Statistical Learning Across Modalities and Domains in School-Aged Children Via an Online Platform and Neuroimaging Techniques
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Individual differences in distributional statistical learning: Better frequency "discriminators" are better

Bethany Growns1,2, Kristy A Martire2, Erwin J A T Mattijssen3

  • 1School of Psychology, Speech and Hearing, University of Canterbury, Christchurch, New Zealand.

Quarterly Journal of Experimental Psychology (2006)
|October 23, 2024
PubMed
Summary

This study explores distributional statistical learning, focusing on how people learn frequency information. Results show that discriminating and estimating frequencies are key components of this learning ability.

Keywords:
Statistical learningdistributional learningindividual differencespsychometrics

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Area of Science:

  • Cognitive Psychology
  • Neuroscience
  • Human Learning

Background:

  • Statistical learning is crucial for understanding the environment.
  • Research has focused on conditional statistical learning, neglecting distributional statistical learning.
  • Distributional statistical learning involves understanding frequency and variability of information.

Purpose of the Study:

  • To investigate how distributional statistical learning can be measured.
  • To explore the relationships and psychometric properties of different distributional learning measures.
  • To determine the components of distributional statistical learning.

Main Methods:

  • Examined four different measures of distributional learning.
  • Assessed abilities ranging from discriminating relative frequencies to estimating frequencies.
  • Included a divergent validity measure (intrinsic motivation).

Main Results:

  • Identified moderate relationships among the four distributional learning measures.
  • These measures accounted for a substantial portion of performance variance (44.3%).
  • Intrinsic motivation did not correlate with statistical learning measures.

Conclusions:

  • Distributional statistical learning involves both discriminating relative frequencies and estimating them.
  • The findings provide a framework for measuring distributional statistical learning.
  • This research highlights the importance of understanding frequency-based learning.