Abstract
In Part I is given a survey of the results of a statistical examination of the yield of the plots of Broadbalk “Wheat field during 67 years. The main features of the comparison of mean yields are well known; the comparative rates of decrement, shown in Section 5, supply a class of facts well worthy of further study. Particularly striking are the relatively slow rates of decrement of plots 2 b and 8, compared with plot 7, which would seem to show a permanent advantage in very high nitrogenous dressings, and to emphasise the need for caution in the application of the principle of diminishing returns. The evidence of the influence of potassium sulphate and its substitutes, sodium sulphate and magnesium sulphate, shown in Table V, is also very striking. An unsuspected feature of the changes of mean yields, which precludes the possibility of obtaining from these data true curves of exhaustion has appeared in the slow changes which have taken place in all the plots in a similar manner. In Part II the mathematical methods by which the variation has been analysed has been discussed, partly as a justification of novel procedure, partly, to make clear that the three types of variations found have been genuinely distinguished. In Part III such evidence as is available has been presented, in order to throw light upon the possibility that the changes in mean yield have been caused by variations in the prevalence of weeds at different periods. One point of importance which should be emphasised is that average wheat yields, even over long periods, from different fields or for different seasons cannot approach in accuracy the comparison of plots of the same field in the same seasons. The advantage of the method adopted by Lawes in the permanent experiments which he instituted is very evident. The effects of weather clearly require that the seasons should be identical, unless the series be very long, but the slow changes in mean yield show that even comparatively long series of different years from the same field cannot be accurately compared. Within the same field, however, the slow changes have almost proportional effects, and comparison between the mean yields of neighbouring plots may be made with great accuracy. The only case in which changes in mean yield sensibly affect the comparison of averages is that of plots 17 and 18. In comparing these with plots 3 and 4, 5, 7, and 10, it would be more accurate to confine attention to high yielding periods, at which the disturbing causes are at their minimum. It is believed that the deviations from the smooth curves, which have been freed, for the most part, from the effects of exhaustion and weeds, form statistically homogeneous material for the study of meteorological effects.
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Claims 9
Claim · model-written summary
Plots 2 b and 8 had slower yield decrements than plot 7.
- Taxon
- Wheat
Triticum aestivume1 - Material
- plots 2 b and 8e0
- Outcome
- rates of decremente0
- Direction
- relatively slowe0
- Comparator
- plot 7e0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“relatively slow rates of decrement of plots 2 b and 8, compared with plot 7”
e1““Wheat field”
Claim · model-written summary
Potassium sulphate and substitutes influenced wheat yield.
- Taxon
- Wheat
Triticum aestivume2 - Treatment
- potassium sulphate and its substitutes, sodium sulphate and magnesium sulphatee0
- Outcome
- mean yieldse1
Not reportedComparatorDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“influence of potassium sulphate and its substitutes, sodium sulphate and magnesium sulphate”
e1“changes of mean yields”
e2““Wheat field”
Claim · model-written summary
All plots underwent similar slow changes in mean yield.
- Taxon
- Wheat
Triticum aestivume2 - Outcome
- mean yieldse1
- Direction
- slow changese0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“slow changes which have taken place in all the plots in a similar manner”
e1“changes of mean yields”
e2““Wheat field”
Claim · model-written summary
Three types of variation were distinguished.
- Taxon
- Wheat
Triticum aestivume1 - Outcome
- types of variationse0
- Value
- threee0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“the three types of variations found have been genuinely distinguished”
e1““Wheat field”
Claim · model-written summary
Long series of average wheat yields from different fields or seasons cannot match same-field same-season plot comparisons in accuracy.
- Taxon
- wheat
Triticum aestivume0 - Outcome
- accuracye0
- Direction
- cannot approache0
- Comparator
- comparison of plots of the same field in the same seasonse0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“average wheat yields, even over long periods, from different fields or for different seasons cannot approach in accuracy the comparison of plots of the same field in the same seasons”
Claim · model-written summary
Slow changes in mean yield make even long series of different years from one field inaccurate to compare.
- Taxon
- Wheat
Triticum aestivume1 - Outcome
- accurately comparede0
- Comparator
- different years from the same fielde0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“even comparatively long series of different years from the same field cannot be accurately compared”
e1““Wheat field”
Claim · model-written summary
Neighboring plot mean yields can be compared accurately within one field.
- Taxon
- Wheat
Triticum aestivume1 - Outcome
- great accuracye0
- Comparator
- neighbouring plotse0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“comparison between the mean yields of neighbouring plots may be made with great accuracy”
e1““Wheat field”
Claim · model-written summary
Changes in mean yield sensibly affect average comparisons for plots 17 and 18.
- Taxon
- Wheat
Triticum aestivume1 - Material
- plots 17 and 18e0
- Outcome
- comparison of averagese0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“The only case in which changes in mean yield sensibly affect the comparison of averages is that of plots 17 and 18”
e1““Wheat field”
Claim · model-written summary
The authors advise comparing plots 17 and 18 with other plots during high yielding periods.
- Taxon
- Wheat
Triticum aestivume2 - Outcome
- confine attention to high yielding periodse0
- Comparator
- plots 3 and 4, 5, 7, and 10e0
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“In comparing these with plots 3 and 4, 5, 7, and 10, it would be more accurate to confine attention to high yielding periods”
e1“plots 17 and 18”
e2““Wheat field”