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Related Concept Videos

Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
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Introduction to Nonparametric Statistics01:28

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Nonparametric statistics offer a powerful alternative to traditional parametric methods, useful when assumptions about the population distribution cannot be made. Unlike parametric tests, which require data to follow a specific distribution with well-defined parameters (such as the mean and standard deviation), nonparametric tests do not require such constraints. This makes them particularly valuable when dealing with small sample sizes, skewed data, or ordinal and categorical variables.
One of...
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Collisions in Multiple Dimensions: Introduction01:05

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It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
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One-Way ANOVA: Unequal Sample Sizes01:15

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One-way ANOVA can be performed on three or more samples of unequal sizes. However, calculations get complicated when sample sizes are not always the same. So, while performing ANOVA with unequal samples size, the following equation is used:
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One-Way ANOVA: Equal Sample Sizes01:15

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One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
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Friedman Two-way Analysis of Variance by Ranks01:21

Friedman Two-way Analysis of Variance by Ranks

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Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures...
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A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
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Assessing approaches to learning with nonparametric multidimensional scaling.

Gerald Knezek1, David Gibson2, Rhonda Christensen1

  • 1University of North Texas Denton Texas USA.

British Journal of Educational Technology : Journal of the Council for Educational Technology
|April 10, 2023
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Summary
This summary is machine-generated.

Middle schoolers

Keywords:
epistemic network analysisevidence centered designgame based learninglearning analytics assessmentnonparametric scaling

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Area of Science:

  • Educational Technology
  • STEM Education
  • Human-Computer Interaction

Background:

  • Online gaming environments offer novel platforms for educational engagement.
  • NASA Mars Mission STEM games in Whyville target middle school learning objectives.
  • Understanding student learning approaches in digital environments is crucial.

Purpose of the Study:

  • To assess learning approaches of middle schoolers using NASA STEM games in Whyville.
  • To validate the use of trace data analysis for game-based learning research.
  • To identify differences in learning strategies for curriculum improvement.

Main Methods:

  • Trace-based assessment of 1361 interactions with NASA STEM games.
  • Nonparametric multidimensional scaling for data analysis and visualization.
  • Epistemic Network Analysis toolkit for post hoc data exploration.

Main Results:

  • Distinct differences in learning approaches were identified among students.
  • Multidimensional scaling proved effective for analyzing time-based behavioral data.
  • The methodology provided statistical validation and visual examination of learning patterns.

Conclusions:

  • The study demonstrates the value of trace data analysis in game-based STEM education.
  • Findings can inform the design of online STEM content and educational games.
  • Evidence-centered design principles are applicable to post hoc analysis of learning interactions.