What do they mean by plot T^2 verus ms?

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In summary, to calculate mw using the given equation T^2 = (4pie^2/k)(ms + mw), you must plot T^2 versus ms and find the value of c on the resulting graph. Then, rearrange the expression for c to solve for mw.
  • #1
dg_5021
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If you were to plot T^2 versus ms using the equation T^2= (4pie^2/k)(ms +mw) how would you calculate the value for mw?

can someone please help me? What do they mean by plot T^2 verus ms?
 
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  • #2
dg_5021 said:
If you were to plot T^2 versus ms using the equation T^2= (4pie^2/k)(ms +mw) how would you calculate the value for mw?

can someone please help me? What do they mean by plot T^2 verus ms?
what are ms, mw, and k

so say plot T^2 vs ms means you plot T^2 on the Y (vertical) axis and ms on the X (horizontal) axis
 
  • #3
Put

x = ms
y = T^2
m = 4 pi e^2/k
c = 4 pi e^2 mw/k

Then the given equation is

y = mx + c

This is the equation of a straight line with gradient m and y intercept c.

So, to find mw, you look at the value of c on your graph and then rearrange the expression for c to calculate mw.
 

1. What is plot T^2 versus ms?

Plot T^2 versus ms is a graph that compares the squared values of the treatment means (T^2) to the mean squares (ms) of the error or residual in an analysis of variance (ANOVA) test.

2. How is plot T^2 versus ms used in scientific research?

Plot T^2 versus ms is commonly used in scientific research to assess the significance of differences between treatment means. It helps researchers determine if there is a significant difference between groups and which specific groups may be driving the overall difference.

3. What does a plot T^2 versus ms tell us about the data?

A plot T^2 versus ms provides visual representation of the variability between treatment means and the variability within each group. It can help identify outliers or extreme values that may be influencing the overall results of the study.

4. How do you interpret a plot T^2 versus ms?

The interpretation of a plot T^2 versus ms depends on the specific research question and the context of the study. In general, a larger T^2 value compared to the ms value indicates a significant difference between treatment means. However, it is important to also consider the sample size and other factors when interpreting the results.

5. Are there any limitations to using plot T^2 versus ms?

Yes, there are some limitations to using plot T^2 versus ms. It assumes that the data follows a normal distribution and that the variances are equal among the treatment groups. If these assumptions are not met, alternative statistical tests may be more appropriate.

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