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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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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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Time-Series Graph00:54

Time-Series Graph

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A time-series graph is a line graph with repeated measurements taken at successive intervals of time. It is also called a time series chart. To construct a time-series graph, one must look at both pieces of a paired data set. The horizontal axis is used to plot the time increments, and the vertical axis is used to plot the values of the variable that one is measuring. By using the axes in this way, each point on the graph will correspond to time and a measured quantity. The points on the graph...
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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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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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Histogram01:05

Histogram

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The histogram is a graphical representation in the x-y form of data distribution in a data set. The horizontal x-axis is labeled with what the data represents (for instance, distance from your home to school). The vertical y-axis is labeled either frequency or relative frequency (or percent frequency or probability).
A histogram graph consists of contiguous (adjoining) boxes. The heights of the bars correspond to frequency values. The graph will have the same shape with respective labels. The...
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Updated: Jul 25, 2025

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons
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Time-series benchmarks based on frequency features for fair comparative evaluation.

Zhou Wu1, Ruiqi Jiang1

  • 1School of Automation, Chongqing University, Shazheng Street, Chongqing, 400044 China.

Neural Computing & Applications
|June 26, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces the NCAA2022 dataset for evaluating time-series prediction methods. It uses frequency analysis and a novel generation process to create a comprehensive benchmark for machine learning models.

Keywords:
Evaluation datasetFrequency domainNCAA2022Time-series prediction

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Area of Science:

  • Machine Learning
  • Time-Series Analysis
  • Signal Processing

Background:

  • Time-series prediction and imputation are critical in academia and industry.
  • Existing machine learning methods are often scenario-specific, hindering cross-case evaluation.
  • A standardized benchmark is needed to assess the generalizability of time-series models.

Purpose of the Study:

  • To develop a comprehensive benchmark dataset for evaluating time-series prediction methods.
  • To enable fair and reproducible assessment of machine learning algorithms across diverse scenarios.
  • To introduce a frequency-domain perspective for time-series problem generation.

Main Methods:

  • A novel prediction problem generation process using finite impulse response (FIR) filters.
  • The NCAA2022 dataset generation, comprising 16 distinct prediction problems.
  • Application of Discrete Fourier Transform (DFT) for frequency analysis of time-series data.
  • Matrix decomposition to optimize computational efficiency for filter parameters.

Main Results:

  • The NCAA2022 dataset provides a robust benchmark for time-series prediction.
  • Frequency analysis reveals insights into the characteristics of generated time-series problems.
  • A baseline experiment demonstrates the dataset's utility in evaluating prediction models.
  • The method allows for efficient generation and analysis of complex time-series tasks.

Conclusions:

  • The NCAA2022 dataset offers a valuable resource for advancing time-series prediction research.
  • Frequency-based analysis provides a powerful lens for understanding and generating time-series problems.
  • The developed benchmark facilitates more reliable evaluation of machine learning models in this domain.