Road Cycling · Public discussion

Fatty Masters Results

Started by Phil Holman · · Last activity · 5 posts · 316 views

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Road Cycling
Published
3 May 2007
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3 May 2007
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Phil Holman
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  1. Test 1
    Ho - rbr is made up of equal numbers of open category riders (under 35)
    and masters riders (35 and over).

    Ha - rbr is made up of mostly masters riders (35 or over).

    Volunteers
    Open catergory (under 35) = 0
    Masters (35 and over) = 13.

    This was almost a no brainer; the probability of getting 13 out of 13
    masters riders if the population proportion is 50% is .5^13 = .0001.
    This is statistically significant so we can reject the null (duhhhhh).We
    would need a masters proportion of .8 for this not to be statistically
    significant.
    Conclusion: At the 95% confidence level, we can say that rbr is made up
    of at least 80% masters.
    There are a couple of masters who ride open category but my
    determination is age based.

    Test 2
    Ho - there is no difference in the mean weight of rbr open category
    riders (under 35) compared to rbr masters (35 or over).

    Ha - rbr masters (35 and over) are significantly heavier than rbr open
    category riders (under 35).

    I'm 10 open category riders short of conducting this test, however, here
    are the stats on the volunteers who did submit their data.

    Weight(lb) Max=216, min=129, mean=167, sd=21.35
    Height(in) Max=75, min=66, mean=70.65, sd=2.78

    I did omit one outlier from the data. Comparing these stats to the
    general population, they are in the 25th to 30th percentile of weight
    and not statistically different in height. A best fit regression of
    weight versus height came up with weight = .0714height^1.82 (r=.57) and
    weight = -154.28+4.5473height (r=.59). Omitting the data point with the
    largest residual resulted in weight =.0016height^2.7 (r=.73).

    Thanks to those who sent in their data.

    Phil H

  2. "Phil Holman" <piholmanc@yourservice> wrote in message
    news:[email hidden]...

    Quoted message said:

    Weight(lb) Max=216, min=129, mean=167, sd=21.35
    Height(in) Max=75, min=66, mean=70.65, sd=2.78

    I did omit one outlier from the data. Comparing these stats to the
    general population, they are in the 25th to 30th percentile of weight
    and not statistically different in height. A best fit regression of
    weight versus height came up with weight = .0714height^1.82 (r=.57) and
    weight = -154.28+4.5473height (r=.59). Omitting the data point with the
    largest residual resulted in weight =.0016height^2.7 (r=.73).

    Uhh, Phil, can you put that in English?

    It appears that rbr masters are typically closer to ideal weight that the
    general population?

  3. "Tom Kunich" <cyclintom@yahoo. com> wrote in message
    news:[email hidden]...

    Quoted message said:

    "Phil Holman" <piholmanc@yourservice> wrote in message
    news:[email hidden]...

    Quoted message said:

    Weight(lb) Max=216, min=129, mean=167, sd=21.35
    Height(in) Max=75, min=66, mean=70.65, sd=2.78

    I did omit one outlier from the data. Comparing these stats to the
    general population, they are in the 25th to 30th percentile of weight
    and not statistically different in height. A best fit regression of
    weight versus height came up with weight = .0714height^1.82 (r=.57)
    and
    weight = -154.28+4.5473height (r=.59). Omitting the data point with
    the
    largest residual resulted in weight =.0016height^2.7 (r=.73).

    Uhh, Phil, can you put that in English?

    It appears that rbr masters are typically closer to ideal weight that
    the general population?

    Yes, it's about the 25th percentile of the general population.

    What the data says is that the sample is at ideal weight which is not
    overly due to any height factor, i.e. a short sample (sample height is
    very representative of the spread in the general population). One would
    expect weight (volume) to increase roughly with the cube of height
    (length) change. It was close to this when I removed one of the data
    points. Weight is only moderately correlated with height (r = .57) for
    this sample. This means that only 32% (.57^2) of variation in weight is
    explained by variation in height.

    Try this equation on yourself to see how well it predicts your weight.
    weight =.0016*height^2.7

    If I input my own height of 74 inches, my weight comes out to
    ..0016*74^2.7 = 178 lb which is fairly close.

    Phil H

  4. in message <[email hidden]>, Phil Holman

    ('piholmanc@yourservice') said:

    I'm 10 open category riders short of conducting this test, however, here
    are the stats on the volunteers who did submit their data.

    Weight(lb) Max=216, min=129, mean=167, sd=21.35
    Height(in) Max=75, min=66, mean=70.65, sd=2.78

    I did omit one outlier from the data. Comparing these stats to the
    general population, they are in the 25th to 30th percentile of weight
    and not statistically different in height. A best fit regression of
    weight versus height came up with weight = .0714height^1.82 (r=.57) and
    weight = -154.28+4.5473height (r=.59). Omitting the data point with the
    largest residual resulted in weight =.0016height^2.7 (r=.73).

    Ah! So even among the masters fattie I am a master relatively fatty. This
    gives me great comfort.

    --
    [email hidden] (Simon Brooke) http://www.jasmine.org.uk/~simon/

    Morning had broken, and there was nothing we could do but wait
    patiently for the RAC to arrive.

  5. Phil Holman' piholmanc@yourservice said:

    "Tom Kunich" <cyclintom@yahoo. com> wrote in messagenews:[email hidden]...

    Quoted message said:

    "Phil Holman" <piholmanc@yourservice> wrote in message
    news:[email hidden]...

    Quoted message said:

    Weight(lb) Max=216, min=129, mean=167, sd=21.35
    Height(in) Max=75, min=66, mean=70.65, sd=2.78

    Quoted message said:
    Quoted message said:

    I did omit one outlier from the data. Comparing these stats to the
    general population, they are in the 25th to 30th percentile of weight
    and not statistically different in height. A best fit regression of
    weight versus height came up with weight = .0714height^1.82 (r=.57)
    and
    weight = -154.28+4.5473height (r=.59). Omitting the data point with
    the
    largest residual resulted in weight =.0016height^2.7 (r=.73).

    Quoted message said:

    Uhh, Phil, can you put that in English?

    Quoted message said:

    It appears that rbr masters are typically closer to ideal weight that
    the general population?

    Yes, it's about the 25th percentile of the general population.

    What the data says is that the sample is at ideal weight which is not
    overly due to any height factor, i.e. a short sample (sample height is
    very representative of the spread in the general population). One would
    expect weight (volume) to increase roughly with the cube of height
    (length) change. It was close to this when I removed one of the data
    points. Weight is only moderately correlated with height (r = .57) for
    this sample. This means that only 32% (.57^2) of variation in weight is
    explained by variation in height.

    Try this equation on yourself to see how well it predicts your weight.
    weight =.0016*height^2.7

    If I input my own height of 74 inches, my weight comes out to
    .0016*74^2.7 = 178 lb which is fairly close.

    That's pretty surprising - I'm about 76 inches now at 62 years old and
    my present weight as if this morning is 196.6 lbs. I usually put on a
    little weight over the winter and take it off over the summer only to
    put it back on after October. Your formula give 191 as my ideal weight
    though when I'm riding I've discovered that I can climb like a snail
    at my present weight and like an angel after I hit 188.

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