Number of replicates required to accurately evaluate the productivity and soluble solids in melon hybrids of the Inodorus group

Determining the number of replicates required to produce statistically testable results based on previously conducted tests is important to minimize labor costs via the use of existing information. The objective of this work was to determine the number of repetitions necessary to evaluate the characters of productivity and soluble solids in hybrids of two types of Inodorus melons. The study consisted of 20 experiments: 12 evaluated 10 hybrids of honeydew melons and 8 evaluated 13 hybrids of yellow melons. The experimental design consisted of randomized blocks with three replicates. Analysis of variance was performed to estimate the repeatability and genotypic determination coefficients. Variability in accurately predicting the genotype was observed for different number of repetitions between the evaluated characters and melon types. In the yellow melon, experiments with three repetitions allowed the accurate identification of superior genotypes with 81.1 and 61.9% certainty for productivity and soluble solids, respectively. In the honeydew melon, 62.4 and 71.2% accuracy was obtained for productivity and soluble solids, respectively.

Keywords:
Cucumis melo L.; experimental planning; experimental precision; repeatability

Authorship

Bernardo Bezerra de Araújo Junior ^** Author for correspondence. E-mail: bernardo.bezerra@ifrn.edu.br

Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Norte, Campus Ipanguaçu, RN 118, s/n, Povoado Base Física, Zona Rural, 59508-000, Ipanguaçu, Rio Grande do Norte, Brazil. Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do NorteBrazilIpanguaçu, Rio Grande do Norte, BrazilInstituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Norte, Campus Ipanguaçu, RN 118, s/n, Povoado Base Física, Zona Rural, 59508-000, Ipanguaçu, Rio Grande do Norte, Brazil.

https://orcid.org/0000-0002-3593-9806

Stefeson Bezerra de Melo

Departamento de Ciências Vegetais, Universidade Federal Rural do Semi-Árido, Mossoró, Rio Grande do Norte, Brazil. Universidade Federal Rural do Semi-ÁridoBrazilMossoró, Rio Grande do Norte, BrazilDepartamento de Ciências Vegetais, Universidade Federal Rural do Semi-Árido, Mossoró, Rio Grande do Norte, Brazil.

Adriano Ferreira Martins

Elaíne Welk Lopes Pereira Nunes

Glauber Henrique de Sousa Nunes

* Author for correspondence. E-mail: bernardo.bezerra@ifrn.edu.br

SCIMAGO INSTITUTIONS RANKINGS

Figures | Tables

Figures (1)
Tables (4)

Thumbnail

Figure 1
Estimation of the genotypic determination coefficients (R²) for productivity and soluble solids as a function of the number of measurements/repetitions (J), based on the average repeatability coefficient (r) of 12 trials with 10 honeydew melon hybrids (a and b) and 8 trials with 13 yellow melon hybrids (c and d).

Thumbnail

Table 1
Analysis of variance containing degrees of freedom and the mean square (MS) for the sources of variation, mean, coefficient of experimental variation (CV), F test value for genotype (F_G), selective accuracy (SA) and experimental precision for productivity and soluble solids of 10 honeydew melon hybrids evaluated in 12 trials. Mossoró, Rio Grande do Norte State, Brazil, 2020.

Thumbnail

Table 2
Estimates of repeatability coefficients (r), genotypic determination coefficients (R²), and number of measurements (repetitions) (J)⁽¹⁾ associated with different R² values for productivity and soluble solids of 10 honeydew melon hybrids evaluated in 12 experiments, Mossoró, Rio Grande do Norte State, Brazil, 2020.

Thumbnail

Table 3
Analysis of variance containing degrees of freedom and the mean square (MS) for the sources of variation, mean, coefficient of experimental variation (CV), F test value for genotype (F_G), selective accuracy (SA), and experimental precision for productivity and soluble solids of 13 yellow melon hybrids evaluated in 8 trials. Mossoró, Rio Grande do Norte State, Brazil, 2020.

Thumbnail

Table 4
Estimates of repeatability coefficients (r), genotypic determination coefficients (R²), and number of measurements (repetitions) (J)⁽¹⁾ associated with different R² values for productivity and soluble solids of 13 yellow melon hybrids, evaluated in 8 trials. Mossoró, Rio Grande do Norte State, Brazil, 2020.

Figure 1 Estimation of the genotypic determination coefficients (R²) for productivity and soluble solids as a function of the number of measurements/repetitions (J), based on the average repeatability coefficient (r) of 12 trials with 10 honeydew melon hybrids (a and b) and 8 trials with 13 yellow melon hybrids (c and d).

Table 1 Analysis of variance containing degrees of freedom and the mean square (MS) for the sources of variation, mean, coefficient of experimental variation (CV), F test value for genotype (F_G), selective accuracy (SA) and experimental precision for productivity and soluble solids of 10 honeydew melon hybrids evaluated in 12 trials. Mossoró, Rio Grande do Norte State, Brazil, 2020.

Trial	MS (ANOVA)			Mean	CV (%)	F_G	SA	Precision¹
Trial	Block (2)	Genotype (9)	Error (18)	Mean	CV (%)	F_G	SA	Precision¹
Productivity (t ha^-1)
1	40.686^ns	399.692*	156.203	43.920	28.460	2.559	0.781	High
2	51.601^ns	17.091^ns	16.907	19.845	20.720	1.011	0.104	Low
3	120.367^ns	311.274*	79.101	52.443	16.959	3.935	0.864	High
4	2.558^ns	333.491*	36.777	33.224	18.253	9.07	0.943	Very high
5	328.176^ns	278.183^ns	125.689	49.976	22.433	2.213	0.740	High
6	211.106^ns	221.455^ns	103.954	31.095	32.790	2.130	0.728	High
7	8.343^ns	450.876*	147.991	55.167	22.052	3.047	0.820	High
8	11.025^ns	451.476*	89.461	34.728	27.236	5.047	0.896	High
9	11.883^ns	287.025^ns	217.182	31.616	46.613	1.322	0.493	Low
10	132.584^ns	441.918*	164.125	34.737	36.881	2.693	0.793	High
11	113.732^ns	323.260*	68.22	32.995	25.034	4.738	0.888	High
12	161.332^ns	478.789^ns	309.536	40.691	43.237	1.547	0.595	Moderate
Soluble solids (°Brix)
1	0.0943^ns	1.397*	0.274	8.383	6.239	5.104	0.897	High
2	0.433^ns	0.724^ns	0.633	7.680	10.357	1.144	0.355	Low
3	0.500^ns	0.732^ns	0.725	8.907	9.561	1.009	0.096	Low
4	1.172^ns	1.518^ns	0.734	10.607	8.078	2.067	0.719	High
5	0.532^ns	1.156*	0.233	10.330	4.674	4.959	0.894	High
6	0.842^ns	1.805^ns	0.765	10.113	8.648	2.359	0.759	High
7	0.409^ns	2.260*	0.452	10.830	6.210	4.997	0.894	High
8	0.060^ns	6.991*	1.158	8.633	12.465	6.037	0.913	Very high
9	0.025^ns	2.501*	0.535	7.880	9.282	4.674	0.887	High
10	0.472^ns	4.538*	0.723	9.493	8.957	6.275	0.917	Very high
11	0.680^ns	5.034*	0.987	10.037	9.897	5.102	0.897	High
12	0.325^ns	6.799*	0.881	9.010	10.419	7.715	0.933	Very high

¹Class limits established by Resende and Duarte (2007Resende, M. D. V., & Duarte, J. B. (2007). Precisão e controle de qualidade em experimentos de avaliação de cultivares. Pesquisa Agropecuária Tropical, 37(3), 182-194. DOI: https://doi.org/10.5216/pat.v37i3.1867
https://doi.org/https://doi.org/10.5216/... ): Very High (SA ≥ 0.90), High (0,70 ≤ SA < 0.90), Moderate (0.50 ≤ SA < 0.70), and Low (AS < 0.50). *Significant effect of F test at 5% probability. ^ns Not significant.

Table 2 Estimates of repeatability coefficients (r), genotypic determination coefficients (R²), and number of measurements (repetitions) (J)⁽¹⁾ associated with different R² values for productivity and soluble solids of 10 honeydew melon hybrids evaluated in 12 experiments, Mossoró, Rio Grande do Norte State, Brazil, 2020.

Statistic	Trial 1	Trial 2	Trial 3	Trial 4	Trial 5	Trial 6	Trial 7	Trial 8	Trial 9	Trial 10	Trial 11	Trial 12	Average r
	Productivity (t ha^-1)
r	0.3419	0.0036	0.4945	0.7289	0.2880	0.2737	0.4055	0.5743	0.0968	0.3607	0.5548	0.1542	0.3564
R²	0.6092	0.0108	0.7459	0.8897	0.5482	0.5306	0.6718	0.8018	0.2433	0.6286	0.7889	0.3535	0.6243
	J estimated
R²=0.50	1.92	275.36	1.02	0.37	2.47	2.65	1.47	0.74	9.33	1.77	0.80	5.49	1.81
R²=0.55	2.35	336.55	1.25	0.45	3.02	3.24	1.79	0.91	11.40	2.17	0.98	6.71	2.21
R²=0.60	2.89	413.04	1.53	0.56	3.71	3.98	2.20	1.11	13.99	2.66	1.20	8.23	2.71
R²=0.65	3.57	511.38	1.90	0.69	4.59	4.93	2.72	1.38	17.32	3.29	1.49	10.19	3.35
R²=0.70	4.49	642.50	2.38	0.87	5.77	6.19	3.42	1.73	21.77	4.14	1.87	12.80	4.21
R²=0.75	5.77	826.07	3.07	1.12	7.42	7.96	4.40	2.22	27.99	5.32	2.41	16.46	5.42
R²=0.80	7.70	1101.43	4.09	1.49	9.89	10.62	5.86	2.97	37.32	7.09	3.21	21.95	7.22
R²=0.85	10.91	1560.35	5.79	2.11	14.01	15.04	8.31	4.20	52.86	10.04	4.55	31.09	10.23
R²=0.90	17.32	2478.21	9.20	3.35	22.25	23.89	13.19	6.67	83.96	15.95	7.22	49.38	16.25
R²=0.95	36.57	5231.78	19.42	7.06	46.98	50.43	27.85	14.09	177.25	33.68	15.25	104.24	34.31
	Soluble solids (°Brix)
r	0.5777	0.0458	0.0031	0.2623	0.5689	0.3117	0.5713	0.6267	0.5505	0.6375	0.5776	0.6912	0.4520
R²	0.8041	0.1259	0.0093	0.5162	0.7983	0.5761	0.7999	0.8343	0.7861	0.8406	0.8040	0.8704	0.7122
	J estimated
R²=0.50	0.73	20.84	319.94	2.81	0.76	2.21	0.75	0.60	0.82	0.57	0.73	0.45	1.21
R²=0.55	0.89	25.47	391.04	3.44	0.93	2.70	0.92	0.73	1.00	0.70	0.89	0.55	1.48
R²=0.60	1.10	31.25	479.91	4.22	1.14	3.31	1.13	0.89	1.22	0.85	1.10	0.67	1.82
R²=0.65	1.36	38.69	594.18	5.22	1.41	4.10	1.39	1.11	1.52	1.06	1.36	0.83	2.25
R²=0.70	1.71	48.62	746.53	6.56	1.77	5.15	1.75	1.39	1.91	1.33	1.71	1.04	2.83
R²=0.75	2.19	62.51	959.82	8.44	2.27	6.62	2.25	1.79	2.45	1.71	2.19	1.34	3.64
R²=0.80	2.92	83.34	1279.76	11.25	3.03	8.83	3.00	2.38	3.27	2.27	2.93	1.79	4.85
R²=0.85	4.14	118.07	1813.00	15.93	4.29	12.51	4.25	3.38	4.63	3.22	4.14	2.53	6.87
R²=0.90	6.58	187.52	2879.47	25.31	6.82	19.87	6.75	5.36	7.35	5.12	6.58	4.02	10.91
R²=0.95	13.89	395.87	6078.88	53.43	14.40	41.95	14.26	11.32	15.51	10.81	13.90	8.49	23.03

⁽¹⁾Estimates less than 1 should be interpreted as 1.

Table 3 Analysis of variance containing degrees of freedom and the mean square (MS) for the sources of variation, mean, coefficient of experimental variation (CV), F test value for genotype (F_G), selective accuracy (SA), and experimental precision for productivity and soluble solids of 13 yellow melon hybrids evaluated in 8 trials. Mossoró, Rio Grande do Norte State, Brazil, 2020.

Trial	MS (ANOVA)			Mean	CV (%)	F_G	SA	Precision¹
Trial	Block (2)	Genotype (12)	Error (24)	Mean	CV (%)	F_G	SA	Precision¹
Productivity (t ha^-1)
1	33.529*	45.894*	9.666	27.861	11.159	4.748	0.889	High
2	12.952^ns	78.027*	9.013	34.092	8.806	8.657	0.941	Very high
3	4.259^ns	59.501*	7.946	34.781	8.105	7.488	0.931	Very high
4	30.410^ns	65.687*	11.458	35.340	9.578	5.733	0.909	Very high
5	14.204^ns	62.582*	10.851	27.114	12.149	5.768	0.909	Very high
6	0.396^ns	11.028^ns	7.087	24.652	10.799	1.556	0.598	Very high
7	34.267^ns	70.255*	10.985	35.344	9.378	6.396	0.919	Very high
8	23.781^ns	86.521*	9.522	35.118	8.787	9.086	0.943	Very high
Soluble solids (°Brix)
1	2.379*	0.751^ns	0.410	14.583	4.389	1.834	0.674	Moderate
2	1.056^ns	0.472^ns	0.466	14.355	4.753	1.013	0.113	Low
3	0.742*	0.777*	0.196	14.323	3.091	3.965	0.865	High
4	1.536^ns	1.624*	0.554	13.766	5.406	2.933	0.812	High
5	2.328*	3.120*	0.321	13.446	4.214	9.721	0.947	Very high
6	5.443*	1.945*	0.872	11.599	8.049	2.231	0.743	High
7	0.920^ns	1.406^ns	0.724	13.822	6.154	1.944	0.697	Moderate
8	0.869^ns	1.166*	0.359	12.385	4.838	3.248	0.832	High

¹Class limits established by Resende and Duarte (2007Resende, M. D. V., & Duarte, J. B. (2007). Precisão e controle de qualidade em experimentos de avaliação de cultivares. Pesquisa Agropecuária Tropical, 37(3), 182-194. DOI: https://doi.org/10.5216/pat.v37i3.1867
https://doi.org/https://doi.org/10.5216/... ): Very High (SA ≥ 0.90), High (0.70 ≤ SA < 0.90), Moderate (0.50 ≤ SA < 0.70), and Low (AS < 0.50). *Significant effect of F test at 5% probability. ^ns Not significant.

Table 4 Estimates of repeatability coefficients (r), genotypic determination coefficients (R²), and number of measurements (repetitions) (J)⁽¹⁾ associated with different R² values for productivity and soluble solids of 13 yellow melon hybrids, evaluated in 8 trials. Mossoró, Rio Grande do Norte State, Brazil, 2020.

Statistic	Trial 1	Trial 2	Trial 3	Trial 4	Trial 5	Trial 6	Trial 7	Trial 8	Average r
	Productivity (t ha^-1)
r	0.5554	0.7185	0.6838	0.6120	0.6138	0.1563	0.6427	0.7294	0.5890
R²	0.7894	0.8845	0.8665	0.8256	0.8266	0.3573	0.8436	0.8899	0.8113
	J estimated
R²=0.50	0.80	0.39	0.46	0.63	0.63	5.40	0.56	0.37	0.70
R²=0.55	0.98	0.48	0.57	0.77	0.77	6.60	0.68	0.45	0.85
R²=0.60	1.20	0.59	0.69	0.95	0.94	8.09	0.83	0.56	1.05
R²=0.65	1.49	0.73	0.86	1.18	1.17	10.02	1.03	0.69	1.30
R²=0.70	1.87	0.91	1.08	1.48	1.47	12.59	1.30	0.87	1.63
R²=0.75	2.40	1.18	1.39	1.90	1.89	16.19	1.67	1.11	2.09
R²=0.80	3.20	1.57	1.85	2.54	2.52	21.59	2.22	1.48	2.79
R²=0.85	4.54	2.22	2.62	3.59	3.57	30.58	3.15	2.10	3.95
R²=0.90	7.20	3.53	4.16	5.70	5.66	48.57	5.00	3.34	6.28
R²=0.95	15.21	7.44	8.79	12.04	11.96	102.53	10.56	7.05	13.26
	Soluble solids (°Brix)
r	0.2176	0.0043	0.4970	0.3919	0.7440	0.2910	0.2393	0.4283	0.3517
R²	0.4548	0.0127	0.7478	0.6591	0.8971	0.5518	0.4855	0.6921	0.6194
	J estimated
R²=0.50	3.60	232.75	1.01	1.55	0.34	2.44	3.18	1.33	1.84
R²=0.55	4.40	284.47	1.24	1.90	0.42	2.98	3.89	1.63	2.25
R²=0.60	5.39	349.13	1.52	2.33	0.52	3.66	4.77	2.00	2.77
R²=0.65	6.68	432.25	1.88	2.88	0.64	4.53	5.90	2.48	3.42
R²=0.70	8.39	543.08	2.36	3.62	0.80	5.69	7.42	3.11	4.30
R²=0.75	10.79	698.25	3.04	4.66	1.03	7.31	9.54	4.00	5.53
R²=0.80	14.38	931.00	4.05	6.21	1.38	9.75	12.72	5.34	7.37
R²=0.85	20.38	1318.92	5.73	8.79	1.95	13.81	18.02	7.56	10.45
R²=0.90	32.37	2094.75	9.11	13.97	3.10	21.93	28.61	12.01	16.59
R²=0.95	68.33	4422.25	19.23	29.48	6.54	46.30	60.41	25.36	35.03

⁽¹⁾Estimates less than 1 should be interpreted as 1.

How to cite

copy

Editora da Universidade Estadual de Maringá - EDUEM Av. Colombo, 5790, bloco 40, 87020-900 - Maringá PR/ Brasil, Tel.: (55 44) 3011-4253, Fax: (55 44) 3011-1392 - Maringá - PR - Brazil
E-mail: actaagron@uem.br

Acompanhe os números deste periódico no seu leitor de RSS

Versão para download de PDF

PDF

Inglês

Versões e tradução automática

Versão original do texto

English

Tradução automática

Google Translator
Microsoft Translator

Como citar

RIS

BIBTEX

Outros formatos de citação e exportação:

SciELO - Scientific Electronic Library Online
Rua Dr. Diogo de Faria, 1087 – 9º andar – Vila Clementino 04037-003 São Paulo/SP - Brasil
E-mail: scielo@scielo.org

Leia a Declaração de Acesso Aberto

Métricas

Number of replicates required to accurately evaluate the productivity and soluble solids in melon hybrids of the Inodorus group

PlumX

Mensagem

[1] * Author for correspondence. E-mail: bernardo.bezerra@ifrn.edu.br