Paper · 2025 · International Journal of Statistics and Applied Mathematics

Trend analysis and test of randomness in soybean cultivation: A case study of Madhya Pradesh and India

Ashutosh Nayak; Pradeep Mishra; Umesh Singh; et al.

11
claims
20
verbatim quotes
0
citations
2
research areas
✓
Open access

Abstract

This study analyses the trends and randomness in soybean area, production, and yield over a 54-year period for Madhya Pradesh and India. The Test of Randomness was applied to examine whether the data followed a random pattern or exhibited systematic behaviour. Results revealed that all parameters: area, production and yield showed significant deviations from randomness, with t-values less than the critical value at the 5% significance level. This indicates the presence of structured trends in all series. Trend analysis using cubic models further confirmed non-linear patterns in the data. In both Madhya Pradesh and India, area and production exhibited strong model fits with high R² values, while yield trends were weaker and more unstable. These findings suggest that while soybean cultivation has expanded steadily in terms of area and production, yield remains inconsistent, especially in Madhya Pradesh. The study highlights the need for targeted interventions to enhance productivity and stabilize yield trends for sustainable soybean growth.

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Claims 11

Observationobservedoriginal resultsignificant (as stated)measured

Claim · model-written summary

Soybean area deviated significantly from randomness.

Taxon
soybeanGlycine maxt0
Outcome
areae0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“all parameters: area, production and yield showed significant deviations from randomness”

✓ located verbatim in the source · abstract, characters 283–371 · show in text ↑
t0

“soybean cultivation”

✓ located verbatim in the source · title, characters 41–60 · show in text ↑
Observationobservedoriginal resultsignificant (as stated)measured

Claim · model-written summary

Soybean production deviated significantly from randomness.

Taxon
soybeanGlycine maxt0
Outcome
productione0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“all parameters: area, production and yield showed significant deviations from randomness”

✓ located verbatim in the source · abstract, characters 283–371 · show in text ↑
t0

“soybean cultivation”

✓ located verbatim in the source · title, characters 41–60 · show in text ↑
Observationobservedoriginal resultsignificant (as stated)measured

Claim · model-written summary

Soybean yield deviated significantly from randomness.

Taxon
soybeanGlycine maxt0
Outcome
yielde0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“all parameters: area, production and yield showed significant deviations from randomness”

✓ located verbatim in the source · abstract, characters 283–371 · show in text ↑
t0

“soybean cultivation”

✓ located verbatim in the source · title, characters 41–60 · show in text ↑
Method / resourceobservedoriginal resultmeasured

Claim · model-written summary

Cubic models found non-linear patterns in soybean cultivation data.

Taxon
soybeanGlycine maxt0
Outcome
non-linear patternse0
Comparator
cubic modelse0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“Trend analysis using cubic models further confirmed non-linear patterns in the data”

✓ located verbatim in the source · abstract, characters 510–593 · show in text ↑
t0

“soybean cultivation”

✓ located verbatim in the source · title, characters 41–60 · show in text ↑
Associationobservedoriginal resultmeasured

Claim · model-written summary

Soybean area had strong cubic model fits in Madhya Pradesh and India.

Taxon
soybeanGlycine maxt0
Outcome
strong model fitse0
Qualifier
areae0
Setting
Madhya Pradesh and Indiae0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“In both Madhya Pradesh and India, area and production exhibited strong model fits with high R² values”

✓ located verbatim in the source · abstract, characters 595–696 · show in text ↑
t0

“soybean cultivation”

✓ located verbatim in the source · title, characters 41–60 · show in text ↑
Associationobservedoriginal resultmeasured

Claim · model-written summary

Soybean production had strong cubic model fits in Madhya Pradesh and India.

Taxon
soybeanGlycine maxt0
Outcome
strong model fitse0
Qualifier
productione0
Setting
Madhya Pradesh and Indiae0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“In both Madhya Pradesh and India, area and production exhibited strong model fits with high R² values”

✓ located verbatim in the source · abstract, characters 595–696 · show in text ↑
t0

“soybean cultivation”

✓ located verbatim in the source · title, characters 41–60 · show in text ↑
Observationobservedoriginal resultmeasured

Claim · model-written summary

Soybean yield trends were weaker and more unstable.

Taxon
soybeanGlycine maxt0
Outcome
yield trendse0
Direction
weakere0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“yield trends were weaker and more unstable”

✓ located verbatim in the source · abstract, characters 704–746 · show in text ↑
t0

“soybean cultivation”

✓ located verbatim in the source · title, characters 41–60 · show in text ↑
Observationauthor interpretationoriginal resultmeasured

Claim · model-written summary

Soybean cultivation area expanded steadily.

Taxon
soybeanGlycine maxe0
Outcome
areae0
Direction
expanded steadilye0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“soybean cultivation has expanded steadily in terms of area and production”

✓ located verbatim in the source · abstract, characters 782–855 · show in text ↑
Observationauthor interpretationoriginal resultmeasured

Claim · model-written summary

Soybean production expanded steadily.

Taxon
soybeanGlycine maxe0
Outcome
productione0
Direction
expanded steadilye0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“soybean cultivation has expanded steadily in terms of area and production”

✓ located verbatim in the source · abstract, characters 782–855 · show in text ↑
Observationauthor interpretationoriginal resultmeasured

Claim · model-written summary

Soybean yield remained inconsistent, particularly in Madhya Pradesh.

Taxon
soybeanGlycine maxt0
Outcome
yielde0
Setting
Madhya Pradeshe0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“yield remains inconsistent, especially in Madhya Pradesh”

✓ located verbatim in the source · abstract, characters 857–913 · show in text ↑
t0

“soybean cultivation”

✓ located verbatim in the source · title, characters 41–60 · show in text ↑
Recommendationauthor interpretationoriginal resultbasis n/a

Claim · model-written summary

The authors call for targeted interventions to improve productivity and stabilize soybean yields.

Taxon
soybeanGlycine maxt0
Outcome
targeted interventions to enhance productivity and stabilize yield trendse0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Glycine max
Glycine max · TaxonPublic domain · Wikimedia Commons ↗

Verbatim

e0

“need for targeted interventions to enhance productivity and stabilize yield trends”

✓ located verbatim in the source · abstract, characters 940–1022 · show in text ↑
t0

“soybean cultivation”

✓ located verbatim in the source · title, characters 41–60 · show in text ↑