What metric is used to measure consistency in scores?
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So suppose you are trying to compare 2 people's consistency in Bowling where the max score is 300. Standard deviation seems like it would not be reliable to measure consistency in performance because large variations are seen without context.
If player A gets 104, 115, and 180 while player B gets 120, 123, and 127, player B is seen as the more consistently better one if you plainly use standard deviation. If you use the mean of both players' data, player A's average will be affected by the outlier. So I'm wondering which formula can be reliably used to determine who is more consistent as well as better performing overall.
statistics data-analysis
asked Jun 12 '17 at 2:23
btrballin
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So suppose you are trying to compare 2 people's consistency in Bowling where the max score is 300. Standard deviation seems like it would not be reliable to measure consistency in performance because large variations are seen without context.
If player A gets 104, 115, and 180 while player B gets 120, 123, and 127, player B is seen as the more consistently better one if you plainly use standard deviation. If you use the mean of both players' data, player A's average will be affected by the outlier. So I'm wondering which formula can be reliably used to determine who is more consistent as well as better performing overall.
statistics data-analysis
asked Jun 12 '17 at 2:23
btrballin
1499
If you are looking for robustness, perhaps check this Wikipedia page, which suggests interquartile range as an option.
– angryavian
Jun 12 '17 at 2:42
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up vote
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down vote
favorite
up vote
0
down vote
favorite
So suppose you are trying to compare 2 people's consistency in Bowling where the max score is 300. Standard deviation seems like it would not be reliable to measure consistency in performance because large variations are seen without context.
If player A gets 104, 115, and 180 while player B gets 120, 123, and 127, player B is seen as the more consistently better one if you plainly use standard deviation. If you use the mean of both players' data, player A's average will be affected by the outlier. So I'm wondering which formula can be reliably used to determine who is more consistent as well as better performing overall.
statistics data-analysis
asked Jun 12 '17 at 2:23
btrballin
1499
So suppose you are trying to compare 2 people's consistency in Bowling where the max score is 300. Standard deviation seems like it would not be reliable to measure consistency in performance because large variations are seen without context.
If player A gets 104, 115, and 180 while player B gets 120, 123, and 127, player B is seen as the more consistently better one if you plainly use standard deviation. If you use the mean of both players' data, player A's average will be affected by the outlier. So I'm wondering which formula can be reliably used to determine who is more consistent as well as better performing overall.
statistics data-analysis
statistics data-analysis
asked Jun 12 '17 at 2:23
btrballin
1499
asked Jun 12 '17 at 2:23
btrballin
1499
edited Jun 12 '17 at 3:00
asked Jun 12 '17 at 2:23
btrballin
1499
asked Jun 12 '17 at 2:23
btrballin
1499
asked Jun 12 '17 at 2:23
btrballin
1499
1499
If you are looking for robustness, perhaps check this Wikipedia page, which suggests interquartile range as an option.
– angryavian
Jun 12 '17 at 2:42
add a comment |Â
If you are looking for robustness, perhaps check this Wikipedia page, which suggests interquartile range as an option.
– angryavian
Jun 12 '17 at 2:42
If you are looking for robustness, perhaps check this Wikipedia page, which suggests interquartile range as an option.
– angryavian
Jun 12 '17 at 2:42
If you are looking for robustness, perhaps check this Wikipedia page, which suggests interquartile range as an option.
– angryavian
Jun 12 '17 at 2:42
add a comment |Â
1 Answer
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Consistency and level of performance are quite different attributes and you are unlikely to find a single measure that statisfactorily summarizes both in just the way you have in mind.
You need to sharpen your criterion if there is to be only one. If two criteria then one measure of centrality and one measure of dispersion might be what you want. 'Robustness' is useless without clear purpose.
Are you looking for most valuable member of a bowling team or best individual player? Are there circumstances in which the one worst score is disregarded? Is (180, 181, 150) "better" than (170, 172, 169)?
For measures of centrality, consider mean, median, and trimmed mean. For
measures of variability, consider standard deviation, inter-quartile range,
mean absolute deviation, and perhaps coefficient of variation. (You can google
the ones not in a readily available statistics text.)
answered Jun 13 '17 at 18:44
BruceET
33.8k71440
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
Consistency and level of performance are quite different attributes and you are unlikely to find a single measure that statisfactorily summarizes both in just the way you have in mind.
You need to sharpen your criterion if there is to be only one. If two criteria then one measure of centrality and one measure of dispersion might be what you want. 'Robustness' is useless without clear purpose.
Are you looking for most valuable member of a bowling team or best individual player? Are there circumstances in which the one worst score is disregarded? Is (180, 181, 150) "better" than (170, 172, 169)?
For measures of centrality, consider mean, median, and trimmed mean. For
measures of variability, consider standard deviation, inter-quartile range,
mean absolute deviation, and perhaps coefficient of variation. (You can google
the ones not in a readily available statistics text.)
answered Jun 13 '17 at 18:44
BruceET
33.8k71440
add a comment |Â
up vote
0
down vote
Consistency and level of performance are quite different attributes and you are unlikely to find a single measure that statisfactorily summarizes both in just the way you have in mind.
You need to sharpen your criterion if there is to be only one. If two criteria then one measure of centrality and one measure of dispersion might be what you want. 'Robustness' is useless without clear purpose.
Are you looking for most valuable member of a bowling team or best individual player? Are there circumstances in which the one worst score is disregarded? Is (180, 181, 150) "better" than (170, 172, 169)?
For measures of centrality, consider mean, median, and trimmed mean. For
measures of variability, consider standard deviation, inter-quartile range,
mean absolute deviation, and perhaps coefficient of variation. (You can google
the ones not in a readily available statistics text.)
answered Jun 13 '17 at 18:44
BruceET
33.8k71440
add a comment |Â
up vote
0
down vote
up vote
0
down vote
Consistency and level of performance are quite different attributes and you are unlikely to find a single measure that statisfactorily summarizes both in just the way you have in mind.
You need to sharpen your criterion if there is to be only one. If two criteria then one measure of centrality and one measure of dispersion might be what you want. 'Robustness' is useless without clear purpose.
Are you looking for most valuable member of a bowling team or best individual player? Are there circumstances in which the one worst score is disregarded? Is (180, 181, 150) "better" than (170, 172, 169)?
For measures of centrality, consider mean, median, and trimmed mean. For
measures of variability, consider standard deviation, inter-quartile range,
mean absolute deviation, and perhaps coefficient of variation. (You can google
the ones not in a readily available statistics text.)
answered Jun 13 '17 at 18:44
BruceET
33.8k71440
Consistency and level of performance are quite different attributes and you are unlikely to find a single measure that statisfactorily summarizes both in just the way you have in mind.
You need to sharpen your criterion if there is to be only one. If two criteria then one measure of centrality and one measure of dispersion might be what you want. 'Robustness' is useless without clear purpose.
Are you looking for most valuable member of a bowling team or best individual player? Are there circumstances in which the one worst score is disregarded? Is (180, 181, 150) "better" than (170, 172, 169)?
For measures of centrality, consider mean, median, and trimmed mean. For
measures of variability, consider standard deviation, inter-quartile range,
mean absolute deviation, and perhaps coefficient of variation. (You can google
the ones not in a readily available statistics text.)
answered Jun 13 '17 at 18:44
BruceET
33.8k71440
answered Jun 13 '17 at 18:44
BruceET
33.8k71440
answered Jun 13 '17 at 18:44
BruceET
33.8k71440
answered Jun 13 '17 at 18:44
BruceET
33.8k71440
33.8k71440
add a comment |Â
add a comment |Â
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If you are looking for robustness, perhaps check this Wikipedia page, which suggests interquartile range as an option.
– angryavian
Jun 12 '17 at 2:42