I’ve discovered another interesting phenomenon. I don’t think this has been discussed yet? Or am I mistaken?
The pch family in the P lines.
Closed forms: pchedy, pchdy, pchey, opchedy, opchdy, opchey, qopchedy, qopchdy, qopchey.
Key findings:
A total of 208 occurrences of the family
106 of these appear in lines beginning with p (51%)
Lines beginning with p account for only 7% of all lines
p ≈ 4 × 10^-64, so highly significant.
Position in the line:
10% are the first token (at the beginning of the line)
84% are in the middle of the line
6% are at the end of the line
This is therefore not merely a phenomenon at the beginning of the line in the style of Grove. Most pch lemmas appear later in the line.
2. The question: Does this also apply to other Gallows families
tch, kch, and fch?
Same tested for the tch, kch, fch families (same pattern, all endings included this time):
pch — very strong, all endings cluster consistently in p-start lines (6-12x above baseline)
tch — mixed: some endings cluster in t-start lines (3-5x), others don't (-y is actually under baseline)
kch — almost flat, one endings shows a mild cluster (-or, 6x)
fch — too few cases to judge reliably
pch is the only family where the effect is uniform across all endings.
pch is the exception among the four Gallows.
3. We know that many pages start with P; does this have anything to do with the pch concentration?
Of 106 pch tokens in p-start lines, 19 are located in positions on the first line of the page, 87 in the middle of the page. Density per 100 lines:
First line of the page + p-start: 24 pch/100
Middle of the page + p-start: 29 pch/100
No p-start line: 2 pch/100
In p-start lines at the top of the page and in the middle of the page, the density is roughly the same. About 12–14 times above the baseline.
Conclusion:
p-start lines at page top show about 11.8x baseline density, and p-start lines away from page top about 14.0x.
The pch family in the P lines.
Closed forms: pchedy, pchdy, pchey, opchedy, opchdy, opchey, qopchedy, qopchdy, qopchey.
Key findings:
A total of 208 occurrences of the family
106 of these appear in lines beginning with p (51%)
Lines beginning with p account for only 7% of all lines
p ≈ 4 × 10^-64, so highly significant.
Position in the line:
10% are the first token (at the beginning of the line)
84% are in the middle of the line
6% are at the end of the line
This is therefore not merely a phenomenon at the beginning of the line in the style of Grove. Most pch lemmas appear later in the line.
2. The question: Does this also apply to other Gallows families
tch, kch, and fch?
Same tested for the tch, kch, fch families (same pattern, all endings included this time):
pch — very strong, all endings cluster consistently in p-start lines (6-12x above baseline)
tch — mixed: some endings cluster in t-start lines (3-5x), others don't (-y is actually under baseline)
kch — almost flat, one endings shows a mild cluster (-or, 6x)
fch — too few cases to judge reliably
pch is the only family where the effect is uniform across all endings.
pch is the exception among the four Gallows.
3. We know that many pages start with P; does this have anything to do with the pch concentration?
Of 106 pch tokens in p-start lines, 19 are located in positions on the first line of the page, 87 in the middle of the page. Density per 100 lines:
First line of the page + p-start: 24 pch/100
Middle of the page + p-start: 29 pch/100
No p-start line: 2 pch/100
In p-start lines at the top of the page and in the middle of the page, the density is roughly the same. About 12–14 times above the baseline.
Conclusion:
p-start lines at page top show about 11.8x baseline density, and p-start lines away from page top about 14.0x.