Comparing two dependent? groups

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In summary, the speaker is a sound source and there are two identical microphones to the left and right of it, each collecting over 3,000 data values. The question is how to determine if differences in the data are due to randomness or an actual difference in microphone placement. The method and corresponding Matlab function are unsure. Additional information is needed such as if the data was recorded simultaneously or if the sound from the speaker is white or pink noise.
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matlabber
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Hi,

I have a mathematics/Matlab question. Suppose I have a speaker that serves as a sound source, and two IDENTICAL microphones to the left and right of this speaker. Suppose that each microphone collects data regarding the sound level of the speaker, and that there are over 3,000 data values for each of the microphones. How can I determine whether the differences in the data for the left and right microphone are due to randomness, or if there is an actual difference when placing a microphone to either the left or right of a speaker? I am not sure what method to use, and which function may correspond in Matlab.

Thank You!
 
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Are the data recorded (nearly) simultaneously, so that you can compare pairs? Or is the sound from the speaker white (or pink) noise so that you can make an assumption about the expected distribution of results?
 

FAQ: Comparing two dependent? groups

What is the purpose of comparing two dependent groups?

The purpose of comparing two dependent groups is to determine if there is a significant difference between the two groups in terms of a specific variable. This can help researchers understand the relationship between the two groups and make conclusions about the effect of an intervention or treatment.

What is the difference between dependent and independent variables?

A dependent variable is a variable that is affected by another variable, while an independent variable is one that is not affected by any other variables. In the context of comparing two groups, the dependent variable is typically the outcome or response variable, while the independent variable is the group or treatment variable.

What statistical test is used to compare two dependent groups?

The most commonly used statistical test for comparing two dependent groups is the paired t-test. This test is used to determine if there is a significant difference between the means of two dependent groups. Other tests that can be used include the Wilcoxon signed-rank test and the repeated measures ANOVA.

Can you compare more than two dependent groups at once?

Yes, it is possible to compare more than two dependent groups at once using a repeated measures ANOVA. This test is used when there are more than two dependent groups and can determine if there is a significant difference between any of the groups. However, if the groups are not normally distributed or have unequal variances, a non-parametric test may be more appropriate.

What are some common assumptions for comparing two dependent groups?

Some common assumptions for comparing two dependent groups include:

  • The dependent variable is continuous.
  • The dependent variable is normally distributed.
  • The variances of the two groups are equal.
  • The observations within each group are independent.
If these assumptions are not met, alternative tests or data transformations may be necessary.

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