Questions on Introduction to Quantitative Measurements
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Dec 6, 2023
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Introduction to Quantitative Measurement
Unit 1 Written Assignment
UNIVERSITY OF THE PEOPLE
HS 4510-01 Biostatistics
AY-2024-T2
Instructor: Adaugo Eziyi
Date: 19/11/2023
1.
Number of past road accidents is a ratio variable, because it has a meaningful zero
point and can be compared using ratios. For example, a person who had 4 accidents
has twice as many accidents as a person who had 2. This variable is also discrete,
because it can only take integer values.
History of past road accident is a nominal variable, because it is a categorical variable that
does not have any inherent order. For example, whether a person had a head-on collision, a
rear-end collision, or a side-impact collision does not imply any ranking. This variable is also
discrete, because it can only take a finite number of values.
Heartbeats per minute is a ratio variable, because it has a meaningful zero point and can be
compared using ratios. For example, a person who has 80 beats per minute has twice as many
beats as a person who has 40. This variable is also continuous, because it can take any value
within a range.
Time taken to complete a race is a ratio variable, because it has a meaningful zero point and
can be compared using ratios. For example, a person who took 10 minutes to complete a race
took twice as long as a person who took 5 minutes. This variable is also continuous, because
it can take any value within a range.
Race is a nominal variable, because it is a categorical variable that does not have any inherent
order. For example, whether a person is Asian, Black, White, or Hispanic does not imply any
ranking. This variable is also discrete, because it can only take a finite number of values.
ABO blood type is a nominal variable, because it is a categorical variable that does not have
any inherent order. For example, whether a person has type A, B, AB, or O blood does not
imply any ranking. This variable is also discrete, because it can only take a finite number of
values.
Injury severity score that takes values from 1 to 5, with 1 being “very minor”, 2 “minor”, 3
“moderate”, 4 “serious”, 5 “very serious” is an ordinal variable, because it is a categorical
variable that has an inherent order. For example, an injury with score 5 is more severe than an
injury with score 4. This variable is also discrete, because it can only take integer values.
2.
This scenario's incidence and prevalence numbers suggest that women are more likely
to contract and recover from the disease. The incidence rate is the number of new
cases of an illness in a population over time, while the prevalence rate is the
percentage of persons with the disease. If women have a greater incidence rate than
men, more women are contracting the disease. However, if prevalence rates reveal no
sex differences, women and men have equal disease rates. Women may be more likely
to survive or recover from the condition than men, or vice versa. It could also mean
migration, misdiagnosis, or underreporting alter incidence and prevalence rates.
3.
To calculate the given expression, we need to multiply each element of X, Y, and Z
according to their corresponding positions, and then square the result of Z. Here is a
step-by-step solution:
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