Question

Explain the different between within season competitive balance and between season competitive balance. Your answer should address the conceptual difference as well as difference in calculating the respective standard deviations.

Answer 1

Answer:

Anstit STANDARD - DEVIATION-BASED MEASURES OF BETWEEN SRASON COMPETITIVE BALANCE AND WITHIN-SEASON O COMPETITIVE BALANCE : The compelative balance can be measured & its multidimensional nature. The diamensions can be differentiaked by evenness of teams an individual Malther, the distribution of were or paints across teams at the end of a reason, the persistence of teams record of werd or points across successive reasons and the degree of concentration of championship wins over a humber of reasons. Basically. The different variants of standard Deuiations paints are allocated for results other than wens in sports like football; different forints assignments are Borsible for wins, draws and losses. Therefore examining hoints ratio is have general than considering wine 0 Ratios. In the analysis of compelative balance we emphasize Standard deviation based measures because of their popularity

IL The Acleal Standard premation of pointe halos (ASD) Provides a simple Dalural measures of expost ouation in endrop- season boont ratios, wherrem, the Approach can be caliclated ass da s must ASD = [Pi-P) KN-1) r evansh Ne number of teams in the leagure, & vesten Per pilti o R&TE & The actual number of points accumulated au the league, where maxim possible parints Statal attainable by team i ma season. I denne og Pi Zisl = Ei ) lise is leagues means fonts Raleo g Noted down bekal The mean Bounts exleo does not need to be estimated as & calurgs equals 0.5 mm - N can be used instead of (N-1) as the dust in using the standard deviation calmilation. -The larger dispersson of point polios around the league mean in any season, the more unequal is competation. O - The O

Howevey, The number of games played by each team is not explicitely depended by the mathematical expression fa ASD; It may tends to decrease of team plays more games because the extent of random pouse in the final sulcomes in reduced. The most widely used competitive balance measure in apper bounds of RSD, which compares ASD to ISD which (Idealized standard pendlion) whereas the standard deviation of the outcome valuable in perfectly balanced league in which each team has an equal obability & winning each game is corresponded. The ISD 0 can ere derived as the stand and deviation of birondeller distributed Random Variable with probability of suresh of 0.5 across independent tenals if draws are not possible.

REP, calculated as Asp/ISD which has been of described as within-searon competitive balance RSD takes the value of unity of the league is perfectly balanced with higher values representing greater levels of imbalance. This is commonly advocated for comparison that involve different number a terme vir and kurresh ti dost hilang and games played Variations in feariete range of values fod RSD for! different va and K; Therefle that is potent sally more represented with fundamental justification, for the use of normalized stand and daudlion measure that lies in the internal coil of and The distributional properties of exandard deviation- based measures of within-season competitive balance are offered by changes in the formal of sports league specifically reason length, Simulated results for a wide range of different scenamory corresponding to different values are considered; where the number of teams), K (the number of rounds of matcher) and the different desteuertion of team sterengths.

Therefore, it is been finally justified that Appropria measurement of competitive balance ich very important very important for analysis of Professional sports. O The (Palio of Standard deviation) RSD applied for in the proportions. Its popularity is completely based on belief that it contends, for Bearon length When making comparsons with (Actual Standard Pencation.) ASD which he sensitive to vacations in season length which is in Balance 1 shorter season and appear to offer a more useful basis for moss league comparaison in comperitive balance. I entrn stern asiantulundrit of Winkel o ns viens no tiene un lood soupe a ol i o pennun w w w .109