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Neko [114]
2 years ago
8

Comparison of methods for the scoring and statistical analysis of SF-36 health profile and summary measures: summary of results

from the Medical Outcomes Study
Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0

summary of results from the Medical Outcomes Study

<h3>What is mental component summary (MCS)?</h3>

By reducing the number of statistical comparisons and, consequently, the influence of chance, physical component summary (PCS) and mental component summary (MCS) measurements enable the testing of health outcome hypotheses. Results from 16 tests involving patients (N = 1,440) who took part in the Medical Outcomes Study were analyzed in order to see how effective they were in comparison to a profile of eight scores. Age, diagnosis, disease severity, concomitant disorders, acute symptoms, self-reported changes in health, and recovery from clinical depression were all factors that were compared between groups that were known to differ at one point in time or change over time. By contrasting the statistical outcomes for each measure with those for the best scales in the same tests, the relative validity (RV) of each measure was calculated. variations

To learn more about mental component summary (MCS) from the given link:

brainly.com/question/24516788

#SPJ4

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A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the
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Answer:  The required number of quarters in the collection is 11.

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If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

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Then, according to the given information, we have

x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)

and

y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Comparing the values of y from equations (iv) and (v), we get

47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.

Thus, the required number of quarters in the collection is 11.

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