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What kind of math is involved in analyzing and modeling data which can only be assigned relative value rather than absolute value?
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To offset the possible obtuseness of the title, I have a very specific example problem in mind. I am a fan of boxing's history; I enjoy combing through the records of past boxers and want to develop a better grounding in statistical methods to be able to suss out intriguing, lesser-known stories.
In many sports, trying to quantify the actual strength of any given athlete or team of athletes is quite difficult because their performances are always relative to their 'era.' If someone has a lengthy undefeated streak against many strong opponents, that signifies a better athlete than the same streak against middling or weak opponents. This only begs the question; now one needs to come up with a way of quantifying the strength of the opponents. Given the profound effects age can have on athletes, and that career periods overlap each other in various ways, it would also be helpful to find a way of rendering a continuous analysis of the strength of a given athlete--after all, it has different significance to defeat a great boxer at their peak than it does to defeat that same boxer five years after they started to decline.
When faced with data like this where there isn't an obvious source of baseline statistics to start from, what sort of mathematical knowledge would one need to possess to accurately assign values based on networks of comparisons?
statistics data-analysis
asked Aug 2 at 15:49
user242007
27016
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up vote
0
down vote
favorite
To offset the possible obtuseness of the title, I have a very specific example problem in mind. I am a fan of boxing's history; I enjoy combing through the records of past boxers and want to develop a better grounding in statistical methods to be able to suss out intriguing, lesser-known stories.
In many sports, trying to quantify the actual strength of any given athlete or team of athletes is quite difficult because their performances are always relative to their 'era.' If someone has a lengthy undefeated streak against many strong opponents, that signifies a better athlete than the same streak against middling or weak opponents. This only begs the question; now one needs to come up with a way of quantifying the strength of the opponents. Given the profound effects age can have on athletes, and that career periods overlap each other in various ways, it would also be helpful to find a way of rendering a continuous analysis of the strength of a given athlete--after all, it has different significance to defeat a great boxer at their peak than it does to defeat that same boxer five years after they started to decline.
When faced with data like this where there isn't an obvious source of baseline statistics to start from, what sort of mathematical knowledge would one need to possess to accurately assign values based on networks of comparisons?
statistics data-analysis
asked Aug 2 at 15:49
user242007
27016
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
To offset the possible obtuseness of the title, I have a very specific example problem in mind. I am a fan of boxing's history; I enjoy combing through the records of past boxers and want to develop a better grounding in statistical methods to be able to suss out intriguing, lesser-known stories.
In many sports, trying to quantify the actual strength of any given athlete or team of athletes is quite difficult because their performances are always relative to their 'era.' If someone has a lengthy undefeated streak against many strong opponents, that signifies a better athlete than the same streak against middling or weak opponents. This only begs the question; now one needs to come up with a way of quantifying the strength of the opponents. Given the profound effects age can have on athletes, and that career periods overlap each other in various ways, it would also be helpful to find a way of rendering a continuous analysis of the strength of a given athlete--after all, it has different significance to defeat a great boxer at their peak than it does to defeat that same boxer five years after they started to decline.
When faced with data like this where there isn't an obvious source of baseline statistics to start from, what sort of mathematical knowledge would one need to possess to accurately assign values based on networks of comparisons?
statistics data-analysis
asked Aug 2 at 15:49
user242007
27016
To offset the possible obtuseness of the title, I have a very specific example problem in mind. I am a fan of boxing's history; I enjoy combing through the records of past boxers and want to develop a better grounding in statistical methods to be able to suss out intriguing, lesser-known stories.
In many sports, trying to quantify the actual strength of any given athlete or team of athletes is quite difficult because their performances are always relative to their 'era.' If someone has a lengthy undefeated streak against many strong opponents, that signifies a better athlete than the same streak against middling or weak opponents. This only begs the question; now one needs to come up with a way of quantifying the strength of the opponents. Given the profound effects age can have on athletes, and that career periods overlap each other in various ways, it would also be helpful to find a way of rendering a continuous analysis of the strength of a given athlete--after all, it has different significance to defeat a great boxer at their peak than it does to defeat that same boxer five years after they started to decline.
When faced with data like this where there isn't an obvious source of baseline statistics to start from, what sort of mathematical knowledge would one need to possess to accurately assign values based on networks of comparisons?
statistics data-analysis
asked Aug 2 at 15:49
user242007
27016
asked Aug 2 at 15:49
user242007
27016
asked Aug 2 at 15:49
user242007
27016
asked Aug 2 at 15:49
user242007
27016
27016
add a comment |Â
add a comment |Â
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