Sunday, 17 May 2026

My worst-ever case of absent-mindedness!

 

The “soup” at right resulted from me adding a cupful of milk aiming to thicken my Irish stew without thinking!

Today, after a terrible, erratic sleep following a long trip out to Milleara Mall — where I found some very good value fruit with which I helped make a quince pie (the first made in the house all year) — I agreed with my mother to make an Irish stew. It was fitting given the shift from a long run of warm and sunny days to rain this morning.

 Last night — a very warm morning which hardly got below the temperature of a comfortable afternoon — was terrible for my sleep. This was not wholly my fault. I was repeatedly waking up to hydrate myself after the strenuous travels of yesterday had produced a bad headache. At the same time, my mother and brother have both been suffering a really bad cough, and the noise from that cough helped prevent me from settling down to sleep. The warmth meant that I was unable to get the correct temperature for sleep: it was too warm with the blanket and too cool without it, while I was not bothered to take it off and sleep with just the sheet as I normally would during very warm summer weather.

During the afternoon when I cooked the quinces and the Irish stew, this did not seem to be a problem. However, with a break in the weather around 4 P.M., I went out for a walk around to the Royal Melbourne hospital, and then was asked to thicken the Irish stew. This is when things went really awry. I rushed to get the stew thickened. However, I did not think about how to do it, thinking all I had to do was to make an unmeasured mix of milk and flour! Having recently only made chicken stews thickened via noodles, I could only think to thicken via mixing milk with flour. I did this immediately without asking for any help, but I put so much milk that when I showed my mother what I had done, I was chastised severely. I immediately showed the coffee mug (not in the photograph above) and when inquired as to why the stew was so runny, said that I had put into the stew one whole cup of milk! My mother was seriously upset, and both my mother and brother said that I should not thicken Irish stews because I do not know how to do it. I became  angry, saying that at the very least I could learn how to thicken properly.

Although I hoped that I could evaporate the milk, I know that would never be allowed! Hence I accepted removing some of the fluid as a soup — not bad to eat as I know from past experience. I was soon told that when thickening stews with flour and milk:

  1. I must aim for a thickness comparable to honey or even slightly thicker than honey
  2. I must add the milk to the flour and never add the flour to the milk.

The real problem for me is remembering this when I next make an Irish stew or some other type!

I any case, despite me being really upset, the stew and the quince tart did provide a nice dinner. My real hope is that I can learn how to thicken stews again!

Saturday, 11 April 2026

Competitive Balance in County Cricket: Part I — By Win Percent in Finished Games

For many years now, I have wanted to measure competitive balance in English county cricket between the first official County Championship in 1890 and the last single-division Championship in 1999.

There are however many problems with measuring competitive balance in county cricket with the techniques used for baseball, basketball, gridiron, ice hockey, rugby, [Australian rules] football and even soccer leagues. These include:
  1. county cricket games often — in some seasons more often than not — can end without any result
  2. over the history of the County Championship, methods of point scoring have varied immensely
    1. since 1968, in fact, a large part of scoring has been “bonus points” not directly related to the result of a match
    2. the result is that a consistent measure of balance may not be accurate for all eras of county cricket
  3. up until World War II, counties usually played schedules of substantially varying length, which makes calculating the idealised standard deviation by conventional means impossible
For these reasons, I plan to analyse competitive balance in county cricket by multiple criteria to see how they compare and how competitive balance has changed over time in the sport.

This first post will analyse competitive balance based purely upon percentage of wins in finished matches. This was the original method of calculating the Champion County, but was discarded because it was seen as encouraging unattractive cricket. Nonetheless, thinking about this idea over many years I have always thought of analysing the observed standard deviation of win percentage in finished matches as the default method by which within-season competitive balance in county cricket might be estimated.

In order to gain at least some idea of the idealised standard deviation of winning percentage in finished games, I have calculated the arithmetic mean of the number of finished games in each season, and based the idealised standard deviation on the ordinary formula of (sqrt(n))/2n. I have then calculated a competitive balance index as the ordinary formula of (ASD-ISD)/(MSD-ISD), where:
MSD = sqrt((N+1)/(12(N-1)))

with N equalling the number of teams in the competition. I have also included skewness and kurtosis for more details on the actual shape of the distribution. Extreme values have been shaded as I previously did in my 2024 study of the “Revolution of 1959”. I have also provided all-series averages for every season of single-division official County championship cricket.

CBI for Each Single-Division County Championship Season, 1890 to 1999:

Season

CBI SKEW KURT
1890 0.462358 -0.960141 -0.054772
1891 0.331451 +0.229151 +0.170827
1892 0.842595 -0.210308 -1.337585
1893 0.239742 +0.168580 -0.539230
1894 0.618669 +0.176070 -0.782851
1895 0.327522 +0.307711 -0.623449
1896 0.450441 +0.452382 -1.143677
1897 0.774982 +0.049695 -1.104113
1898 0.750282 +0.411154 -1.371064
1899 0.468059 +0.436129 -1.087182
1900 0.784729 -0.012455 -0.383119
1901 0.571871 -0.119775 +0.485723
1902 0.317136 +0.446170 +0.238533
1903 0.550588 -0.429954 -0.294312
1904 0.575301 +0.493857 -0.213935
1905 0.732449 -0.140498 -1.168476
1906 0.784290 +0.241416 -1.432568
1907 0.761771 +0.046237 -0.682596
1908 0.635791 +0.542957 +0.016871
1909 0.697139 -0.043934 -1.021497
1910 0.621227 -0.364317 -0.144691
1911 0.774390 -0.538290 -1.187153
1912 0.913412 +0.081078 -1.385633
1913 0.564809 +0.335478 -0.908739
1914 0.796326 -0.222787 -1.080853
1919 0.456512 +0.216030 -1.152839
1920 0.794512 -0.380103 -0.857362
1921 0.709633 +0.240165 -1.242194
1922 0.839410 -0.026496 -1.020781
1923 0.835631 0.336090 -1.018051
1924 0.839410 -0.120697 -1.175160
1925 0.858227 +0.271994 -1.036225
1926 0.791844 +0.469658 -1.004929
1927 0.667121 -0.257271 -0.864866
1928 0.878656 +0.073174 -0.473664
1929 0.666758 -0.310386 -0.995948
1930 0.690781 +0.662334 -0.771007
1931 0.454629 +0.085538 -0.322792
1932 0.793709 +0.245013 -1.078973
1933 0.733655 0.011935 -1.166727
1934 0.573070 -0.166672 -1.118039
1935 0.572791 -0.067031 -0.122990
1936 0.508035 -0.395538 -0.508390
1937 0.657703 -0.532268 -0.112059
1938 0.474863 -0.208981 +1.354882
1939 0.523154 -0.687685 +0.030232
1946 0.519580 +0.543093 -0.433125
1947 0.445312 +0.434828 +0.002714
1948 0.373594 +0.137454 -1.469418
1949 0.367723 +0.279477 -0.318211
1950 0.465111 +0.634463 -0.357330
1951 0.505072 -0.065867 -0.496338
1952 0.508765 +0.484745 -0.211689
1953 0.362378 -0.676085 -0.018059
1954 0.522281 -0.256696 -1.183995
1955 0.409663 +0.266860 -0.459407
1956 0.373128 -0.090026 -0.838410
1957 0.495334 +0.373986 -0.129682
1958 0.161731 -0.570909 -0.314868
1959 0.141932 -0.737029 -0.058184
1960 0.388917 -0.502500 -0.743616
1961 0.299882 -0.241965 -0.244088
1962 0.497791 -0.362190 -0.683229
1963 0.323291 -0.403720 -0.159527
1964 0.569966 -0.003793 -1.185038
1965 0.242032 -0.021824 -1.123755
1966 0.196613 +0.002542 -0.898257
1967 0.337281 -0.660471 +0.625506
1968 0.215358 -0.549002 -0.357759
1969 0.484943 +0.583272 +0.128426
1970 0.072694 +0.721005 +0.298446
1971 0.193056 +0.223475 -1.189572
1972 0.521367 +0.177093 -0.235752
1973 0.520214 +0.108313 -0.004182
1974 0.623300 +0.225952 -0.517476
1975 0.541885 +0.173766 -0.741075
1976 0.139265 -0.147423 -1.202972
1977 0.217728 -0.506065 +0.113360
1978 0.446960 +0.975866 -0.540541
1979 0.427807 -0.728434 +0.028456
1980 0.107447 -0.616210 +0.674108
1981 0.361980 +0.183950 -1.009637
1982 0.462704 -0.551719 +0.520057
1983 0.630372 -0.121651 -1.771580
1984 0.497179 -0.408316 -0.375583
1985 0.307034 -0.082135 -0.762481
1986 0.004652 +0.188331 -0.508590
1987 0.521703 -0.022970 -1.246956
1988 0.163785 -0.567549 +0.368864
1989 0.239509 +0.967162 -0.077891
1990 0.334461 +0.777225 -0.488989
1991 0.052972 -0.127006 -1.252023
1992 -0.097526 -0.367632 +1.399614
1993 0.238570 +0.230888 +0.209866
1994 0.179998 +0.525857 +0.763104
1995 0.462702 +0.681663 -0.761303
1996 0.636679 -0.283181 -0.378578
1997 0.337709 -0.472894 -0.460810
1998 0.556307 +0.653322 +0.184129
1999 0.180620 +0.947094 +3.056189
Average 0.48758245 +0.02190829 -0.4853056

Graph of Competitive Balance with 5- and 15-Year Means:

Competitive Balance Index by Win Percent in Finished Games in the County Cricket Championship, 1890 to 1999

Graph of Competitive Balance Index, Skewness and Kurtosis:

Competitive Balance Index by Win Percent in Finished Games, alongside Skewness and Kurtosis of Win Percent in Finished Games, in the County Cricket Championship, 1890 to 1999

Conclusions:

The first graph above clearly shows an improvement in competitive balance in the County Championship since the middle 1930s. In fact, as a fifteen-season running mean, the (ASD-ISD)/(MSD-ISD) index as defined above fell from around 0.75 for the fifteen seasons centred upon 1922 [1911 to 1929] to less than 0.27 for the fifteen seasons centred upon 1987 [1980 to 1994]. This constitutes a dramatic contrast to [Australian rules] football, soccer and basketball leagues, which have seen no improvement in competitive imbalance over the past century-and-a-quarter.

There are several possible explanations for the dramatic improvement, which are not mutually exclusive:
  1. standardised professional squads after the 1930s meant that no team relied on low-quality amateur players as many counties before 1930 substantially or largely did
    • the exceptions or partial exceptions were:
      1. Lancashire, Nottinghamshire, Surrey and Yorkshire — and to a smaller extent Kent, Sussex and Warwickshire
        • these counties received sufficient industrial patronage to afford large professional staffs so would only play amateurs who could compete with their best professionals
      2. Kent (again), Middlesex, Essex and Hampshire
        • these counties possessed a substantial number of high-quality amateurs associated with business in London but able to devote full or partial summers to county cricket
  2. standardised mass production and improved coaching of pace and seam bowlers produced more uniform quality amongst counties after the middle 1930s
    • this made bowling much more consistently economical in runs conceded and also much cheaper to develop
      • of course this greater uniformity at the cost of eliminating the possibility of financially self-supporting first-class cricket, which requires overwhelming predominance of spin alongside the most limited pace and seam
  3. increasing breadth of search for players, which began in earnest in the 1930s and 1940s (e.g. Jack Walsh), should have reduced variance in performance
    • in this context, the introduction of “special registration” for England-eligible players after World War II should have further improved competitive balance as players were no longer held by teams without need

The skewness data does not suggest a great deal of interest from cursory examination.

The kurtosis data suggests increasing (less negative) kurtosis over time, which is highly consistent with the theories of standardisation noted in 1) and 2) above.

The data suggest that standardisation has either been more radical or more effective (or both) in county cricket than in most other team sports, where similar standardisation has either had no effect on comptitive balance or even, as in [Australian rules] football, lowered it as the talent pool becomes more and more limited. Why a focus on tall, fit pace bowlers that developed after the 1948 Ashes series — and can be traced back earlier — should not lower the talent pool as a similar focus in [Australian rules] football since the 1980s has does deserve discussion as I cannot see a definitive and obvious answer.

Tuesday, 10 March 2026

Military spending in the US by regional mean rank

Ever since a quarter of a century ago when I read Trotskyist magazines arguing that if all military spending were scrapped and the rich properly taxed there would be far more than enough money to solve all the social problems facing the world today, I have taken an interest in US military spending, in part because I found a lot of information from a late-1970s textbook at Latrobe University.

A Six-Way Division of the US

Since reading the late James Löwen’s Sundown Towns, I have come to propose a six-way division of US states according to the map below:

A six-region map of the United States. An alternative divide of the two western regions is also possible, as well as splitting the into three or four; however, the four more easterly regions are relatively clear even for seven- and eight-way divisions

Comparing Regions’ Military Spending

In the following brief analysis, I hope to look at how these six regions compare in terms of military spending. My first experience with variation in US military spending by region occurred from reading R.W. DeGrasse’s Military Expansion, Economic Decline: Impact of Military Spending on United States Economic Performance as a Melbourne University student exploring the Latrobe library over two decades ago. DeGrasse developed a system of dividing US states slightly different from the conventional one, but one which I have come to see as the most logical available. However, the Southern and Western regions of DeGrasse are sufficiently varied that I have split them into two, as shown in the map above. Löwen’s work from a quarter-century after DeGrasse further supports such a division.

In the table below, I have assessed and compared the ranks of each state in defence spending from, firstly, the latest available state-by-state report (from 2024), and secondly, from DeGrasse’s 1981 work. Comparing DeGrasse’s work with the latest available can, of course, show continuities and changes in how states and regions compare.

US Military Spending By State and Region — 2024 and 1981

2024 Rank State 1981 Rank
1Virginia4
2Hawaii3
3Connecticut5
4District of Columbia1
5Alaska2
6Maryland13
7Kentucky32
8Alabama22
9Maine23
10Mississippi7
11New Mexico9
12Arizona14
13Oklahoma17
14Colorado21
15Texas16
16Utah6
17Rhode Island29
18Missouri8
19Massachusetts15
20Florida24
21South Carolina19
22Washington12
23Pennsylvania44
24Indiana35
25North Carolina27
26Georgia18
27Kansas25
28South Dakota33
29California10
30New Hampshire20
31Nevada31
32New York37
33Vermont30
34Wyoming36
35New Jersey40
36North Dakota26
37Michigan48
38Louisiana11
39Ohio41
40Nebraska39
41Montana45
42Illinois50
43Iowa47
44Wisconsin46
45Delaware28
46Idaho42
47Arkansas34
48Tennessee38
49West Virginia49
50Minnesota43
51Oregon51
17.00Southwest Average13.40
18.63Lowland (Plantation) South Average16.50
21.33Northeast Average23.75
28.14Upland (Nonplantation) South average27.71
30.00Northwest Average28.16
39.86Midwest Average44.57

Results and Conclusion:

What the table shows is that:
  1. with a few exceptions, the states of high and low relative military spending in 1981 and 2024 are the same:
    1. seven of the ten states with lowest defence dependence are the same in both years
    2. six of the ten states with highest defence dependence are the same in both years
  2. military spending in the US is heavily concentrated in the lowland South and the Southwest, and to a lesser degree in the Northeast
  3. almost no state in the Midwest (only Indiana in 2024) is outside the bottom third in defence spending
  4. eight of twelve states in the Northwest are also consistently below average in military dependence
    1. this is more significant than it looks before the four “defence dependent” states in the Northwest, alongside Kansas — the next most dependent in the region — form a periphery either:
      1. substantially part of the Southwest at a local level (Colorado, Utah) or
      2. peripheral to the Northwest region (Alaska, Washington)
    2. we can perhaps then define a “core Northwest” consisting of Idaho, Montana, Nebraska, North Dakota, Oregon, South Dakota and Wyoming
      1. states within this “core Northwest” are consistently and uniformly amongst the least defence-dependent in the United States
  5. three of the seven states in the Upland South are also consistently amongst the least defence-dependent
In Sundown Towns, Löwen demonstrated that racial segregation has tended to be less in military towns than almost anywhere else in the United States. Löwen also showed that virtually the entire “core Northwest” has historically absolutely excluded blacks, with the exception of a small number of the largest cities. The Midwest was almost as rigid. Löwen’s observation stands in complete agreement with the observation that military spending is concentrated in the lowland South and Southwest, where blacks (and, often, other nonwhites) were valued as sources of labour rather than feared as competitors for land. In the Northeast, whilst blacks were not valued, they were feared less than in the Midwest, Northwest or upland South because land was less abundant.

The military — who saw and sees the value in cheap black labour as soldiers — preferred and prefers thus to locate in areas not virulently intolerant of blacks’ presence. Of course, these areas not intolerant of (or valuing) blacks’ presence are also strategically logical as they are closest to the US’ most dangerous foreign threats from the lower classes of Latin America, but the history noted by Löwen no doubt plays a comparable role.

Monday, 9 March 2026

How I got “pet room Archie’s”!

This evening looking at my unfortunate — if at times hilarious as when “Dick Tyldesley” was corrected to a body part — history of tampering with AutoCorrect, I asked AI about why on earth “petromonarchies” could and would be corrected to the ludicrous “pet room Archie’s”!

AI: That is a perfect example of a "mondegreen" error—where the software tries to turn a complex technical term into several simpler, common words [Mondegreen and phonetic errors in software]. 
It’s easy to see how the algorithm got there:
  1. Petro- becomes Pet room 
  2. -monarchies (which sounds like “mon-ark-ees”) gets mangled into the name Archie’s [Common AutoCorrect linguistic error].
While hilarious, it highlights why AutoCorrect struggles with academic or geopolitical terms; it’s programmed to prioritise everyday language over niche vocabulary [1]. If you use that term often, you can usually “teach” your phone to stop by adding petromonarchies to your Personal Dictionary or Text Replacement settings [4].
AI: Do you have any other ridiculous corrections saved in your phone's history?
I did not answer on that one, but I do not have any other ridiculous AutoCorrect corrections since I stopped trying to tamper with AutoCorrect out of outrage at toilet wall graffiti [and in fact toilet wall graffiti as I have seen it today is not nearly so horrible as I recall in the Richard Berry Building or in Monash’s Hargrave–Andrew Library].

Sunday, 8 February 2026

A parody and a true cricket tale

Over recent months, I have repeatedly sang this song (or variations) to my brother:

“Modern batsmen have a pitch
Ninety percent rigged
And on that pitch they score many runs
But deserve very few
With a cross-bat here
And a cross-bat there
Here a cross
There a cross
Everywhere a cross-bat
Modern batsmen have a pitch
Ninety percent rigged”

I have often thought of writing further lines about how covered pitches plainly constitute kangaroo courts for the spin bowler, but have never sung them.

Me and my brother have fiercely debated whether covered or uncovered pitches are fairer. The facts, at least judging from English first-class bowling and batting data, firmly suggest covered pitches on average are more difficult for spin bowlers than even abnormally bad “sticky” wickets were for batsmen. Plainly put:

  1. many batsmen managed to consistently cope with the most difficult uncovered pitches and achieve averages comparable to what the best batsmen under covering achieve
  2. on covered pitches, zero spin bowlers achieve consistently anything like the same averages that old spin bowlers expected on uncovered pitches
    • even overseas spinners — almost invariably superior to English ones under unfavourable conditions — have never consistently come close to either the averages of the old spinners nor those of the best fast bowlers
My brother consistently says that with proper coaching spin bowlers can master covered pitches properly. He also said that the effort required to bowl spin effectively outside England was accepted there and ought to have been accepted in England. However, so early as the 1956 Wisden — when concern at the declining appeal of first-class cricket was becoming serious — it was noted that the emphatic finger spin needed outside England was the most difficult method of bowling to master, and fewer and fewer were developing it in preference to easily mastered seam and pace. My brother also ignores how in many countries where “rollers” [a term used by Ashley Mallett in opposition to genuine “tweakers” in one 1996 Wisden article] were unable to turn the ball genuine finger spinners disappeared so completely as in England. This was especially true in the West Indies and South Africa, and suggests two things:
  1. by 1960, the “tweaker” was already viewed as an extravagant luxury both in runs conceded and in cost of development
    1. John Woodcock would note in 1963 how the “tweaker” was already viewed too expensive in runs to compete against constantly improving fast and even medium-pace bowlers
    2. it was undoubtedly clear, though never discussed, that improving the “tweaker” to be less costly in runs was constantly becoming less and less financially viable as pace bowling became better and better
  2. development of spin bowling even partly able to cope with fundamentally rigged conditions is possible only under very restricted social conditions:
    1. in pre-war Australia, leisure was sufficiently abundant that young boys had the time to develop the abnormal effort to develop “real finger spin” that might turn on fundamentally unfair pitches
    2. in the Indian subcontinent, extreme abundance of labour means that young boys could be trained to develop genuine finger spin at relatively low cost vis-à-vis the rest of the cricket world
Hence, Clive Lloyd’s decision, in Vic Marks’ word [The Wisden Illustrated History of Cricket, pages 201-202], that
“spin bowling... was a luxury, especially if four genuinely fast bowlers were available”
was entirely consistent with most captains’ experience over the preceding quarter-century as the extreme difficulty of bowling spin on well-prepared covered pitches became less and less affordable for young boys. The problem is that once spin becomes viewed as an extravagant luxury first-class cricket is financially doomed in the long term, and its problems have been noted by Huw Turberville in his recent The Final Test. Virtually all historical instances where first-class cricket was economically self-supporting correlate practically perfectly with the greatest weaknesses in fast and medium-pace bowling, and exclusive reliance upon spin of whatever quality.

However, it is tempting to say that the greatest spin attacks in history — circa 1934 Australia and circa 1970 India — are fundamentally so costly to develop that first-class cricket becomes unprofitable once those costs are factored in, although attendance figures imply first-class cricket would always be profitable if the quantity and quality of spin developed in those two cases could be maintained. History shows that those standards of spin were never maintained, and the logical explanation is that maintaining from generation to generation the extreme effort involved in developing the best spin bowlers was inherently too expensive and difficult. This further supports the contention that covered pitches are, fundamentally, rigged against the spinner incomparably more than uncovered pitches are against batsmen.