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Meta-Analysis of Commercial-Scale Trials as a Means to Improve Decision-Making Processes in the Poultry Industry: A Phytogenic Feed Additive Case Study

Published: November 2, 2021
By: Diego A. Martinez 1, Carol L. Ponce-de-Leon 2 and Carlos Vilchez 1 / 1 Department of Nutrition, Universidad Nacional Agraria La Molina, Lima, Peru; 2 Independent Researcher, Lima, Peru.
INTRODUCTION
The feed conversion ratio (FCR) is, in addition to the cost of the feed, the most influential variable in the cost structure of poultry production1,2 and consequently, drives the economic efficiency of poultry operations. As a result, the FCR represents an important response variable in nutrition experiments, irrespective of whether or not they are complex, as metabolism studies3,4, or as simple as the experiments that are usually conducted to evaluate nutritional and feeding interventions. Standard nutritional experiments are frequently used to examine changes in nutrient requirements5, use of supra-nutritional nutrient levels to modulate physiological responses, the inclusion of feed additives to optimize performance and the application of feeding strategies in broilers or layer hens6.
The trend to produce antibiotic-free broilers is pressing the allied industry to develop technologies that help to overcome the multimodal action mechanisms of antimicrobial growth promoters7. An important area of research is related to the use of plant-derived products (phytogenics) to exert positive effects. Indeed, oregano (Origanum vulgare) represents a widely studied plant-derivative, as its essential oil and its main secondary metabolites (carvacrol and thymol)8 have shown several biologically important activities, including antimicrobial9,10, antioxidant11,12, endogenous enzyme activity promoting13,14 and prebiotic15 properties, as well as its ability to promote intestinal mucosa structure and health16 and prevent coccidia17,18. However, the overall effect of oregano essential oil on broiler performance could be challengedependent19 and may vary if the chemical composition is inconstant20.
In this regard, it becomes a complex task to perform an experiment to test these technologies, while also satisfying statistical power and meeting growing conditions similar to the industry, where natural pathogenic challenges limit the expression of the genetic potential21. The main reason for this is that the larger the experimental unit, the lower the statistical power, as less experimental units will be available22. In contrast, statistical power can be increased if more replications are made available using smaller floor pens or cages; however, the growing conditions would become less similar to the commercial ones, which would lower the challenging conditions.
One of the main limiting aspects faced by the industry and researchers is to design experiments that are sensitive enough to detect numerically small effects3,4, such as those expected in FCR when phytogenic feed additives are tested. Usually, most of these can be economically justified with an improvement in FCR lower than 1.5%; however, the design of experiments offering such statistical sensitivity is not only a complex task23 but is also rare. As a result, detecting these small effects becomes extremely unlikely if the study is performed under commercial conditions to test a particular technology in a real usage scenario.
In this context, meta-analysis of independent studies has been proposed as a strategy to increase statistical power24,25. Consequently, this is expected to support decision-making processes based on commercial-scale experiments where statistical sensitivity is insufficient, or when the expected effect is relatively low but still economically relevant. Therefore, the objective of this case study was to determine the overall effect of a phytogenic feed additive on the performance variables of broilers. In addition, we sought to compare these results with those from independent experiments included in the analysis.
MATERIALS AND METHODS
Experiments: Nine independent experiments (EX1 to EX9) were performed and included a total of 622,496 broilers (Table 1). In all experiments, 1-day-old male Cobb 500 chicks were used, from 1-42 days of age. Within each experiment, birds were randomly allocated to the experimental units (EU): Whole broiler houses (7 experiments), floor pens (1 experiment), or cages (1 experiment). In experiments, reused litter based on rice husk was used as a bedding material and when cages were used, a screen was placed over the floor wiring to successfully retain the litter. In the nine experiments, corn-soybean meal-based pelleted diets that were formulated following the nutritional guidelines of the genetic line26, were fed ad libitum to the birds under a four-phase feeding program (pre-starter, 0-8 day; starter, 9-18 day; grower, 19-28 day; finisher, 29-42 day) as shown in Table 2. Two dietary treatments were tested: T1, control diet and T2, control diet+the additive at a 0.05% inclusion rate, fed continuously from 1-42 day. In all cases, the treatments were randomly assigned to the EUs. The tested phytogenic oregano-derived commercial product (blind-coded as PHE780 by LIAN Development and Service Co., Lima, Peru) provided no less than 45 g of carvacrol per kg of product.
The response variables were final body weight (BW, g bird−1), feed intake (FI, g bird−1), FCR (g g−1) mortality (%) and European Production Efficiency Factor (EPEF) following the calculation reported by Marcu et al.27
 Meta-Analysis of Commercial-Scale Trials as a Means to Improve Decision-Making Processes in the Poultry Industry: A Phytogenic Feed Additive Case Study - Image 1
Meta-Analysis of Commercial-Scale Trials as a Means to Improve Decision-Making Processes in the Poultry Industry: A Phytogenic Feed Additive Case Study - Image 1
Meta-Analysis of Commercial-Scale Trials as a Means to Improve Decision-Making Processes in the Poultry Industry: A Phytogenic Feed Additive Case Study - Image 4
In broiler houses, the BW was obtained by weighing 10 sub-samples of 50 birds, each one in different locations within the house and the FI was calculated assuming that all of the feed provided was eaten. In the floor pens and cages, the BW was obtained by weighing all the birds and the FI was calculated as the actual net amount of feed eaten.
Analyses of variance: Data were first analyzed independently by experiment under completely randomized designs and thereafter, data were combined and analyzed under a completely randomized block design, considering the experiment itself as the blocking factor28. Normality of the data was determined using the Shapiro-Wilk test29 and the existence of outliers was determined by Grubbs test30. The response variables with non-normal distributions were analyzed with Kruskal-Wallis test31. In all cases, results were considered statistically significant when p≤0.05.
The additive linear model for the analysis of each independent experiment was Yij = μ + Ti + εij, where Yij is the observed value in the i-th treatment (i: 1,...t) and j-th replication (j: 1,...r); μ is the effect of the general mean; Ti is the effect of the i-th treatment; εij is the effect of the experimental error in the i-th treatment and j-th replication; t is the number of treatments; r is the number of replications in the i-th treatment; being that εij~ N(µ,σ2) and independently, where N denotes the normal distribution among replications and σ2 is the variance among the experimental error of the different EU.
In contrast, the additive linear model for the analysis of variance of the whole data was Yijk = μ + Ti + βj + εijk, where Yijk is the observed value in the i-th treatment (i: 1,...t), j-th block (j: 1,...p) and k-th replication (k: 1,...r); μ is the effect of the general mean; Ti is the effect of the i-th treatment; βj is the effect of the j-th block; εijk is the effect of the experimental error in the i-th treatment, j-th block and k-th replication; t is the number of treatments; p is the number of blocks; r is the number of replications in the i-th treatment; being that εijk~N(μ,σ2) and independently, where N denotes the normal distribution among replications and σ2 is the variance among the experimental error of the different EU.
Meta-analyses: Independent meta-analyses were performed for each single response variable to determine the overall effect size, its 95% confidence interval (CI95%) and its probability with Wald test32 and the existence of heterogeneity using a random-effects model with Cochran test33 (Q statistic) and its corresponding probability with chi-square test34. In all cases, results were considered statistically significant when p≤0.05.
The heterogeneity was determined considering the following linear additive model: yi = µ+ui +ei, where yi is the observed effect size in the i-th experiment (i: 1,...k) (and also, yi = θi +ei, where θi is the unknown true effect in the i-th experiment; ei is the intra-experimental sampling error in the i-th experiment); ui is the inter-experimental deviation regarding the overall effect size in the i-th experiment; ei is the intra-experimental sampling error in the i-th study; k is the number of experiments; N denotes the normal distribution of the random inter-experimental deviation (u) and the intraexperimental sampling error (e); being that ui~N(0,τ2) y ei~N(0,νi) and both independently, where τ2 indicates the heterogeneity (variability among the true effects in the different experiments) and νi is the approximately known sampling variance of the estimated effect size in the i-th experiment.
To adjust the model, a weighted least square method was applied, implying that the adjusted model provides an estimate of ¯θw = Σwiθi /Σwi, where is the true weighted average effect size; wi is the weighing factor considered, θi is the true effect size in the i-th experiment; that is, is the weighted average of the true effects (θi) in the set of k studies, with weights equal to the inverse of the corresponding variances (wi = 1/νi).
In addition, the goodness of fit of model residues were evaluated with the Shapiro-Wilk test (normal if p>0.05). In cases where the residues were non-normally distributed, the data were analyzed again to determine the probability associated to the global effect size but this time, with applying a permutation test with 10,000 iterations.
Finally, the presence of bias within the data of each response variable was evaluated through the Egger regression test to determine the asymmetry of the distribution of the data, based on both the effect sizes and the precision of each experiment. Trim and Fill analysis was then performed to estimate the effect size values that would compensate distribution imbalances, if they existed, and if so, their magnitude and influence on the overall effect size were determined. As a result, each variable eventually had two sets of effect sizes: dO, being the set of effect sizes calculated from the experiments and dA, being the set of effect sizes that also included the values estimated through the Trim and Fill analysis. Thereafter, the bias was considered relevant if the Egger test was significant (p≤0.05) and if the CI95% of the overall effect sizes, calculated with both the adjusted data (dA) and with the original data (dO), were not overlapped.
Software and informatics resources: Grubbs test for the detection of outliers was performed with GraphPad Prism 7 software35. Kruskal-Wallis tests and variance analyses were performed in SAS 9.4 using NPAR1WAY with Wilcoxon restriction and GLM procedures, respectively36. The goodness of fit to the normal distribution and meta-analyses routines were performed with stats and Metafor 2.0-037 packages in R 3.5.2 version programming language38 using RStudio 1.1.456 as an interface39.
RESULTS
Analyses of variance: No outliers were detected in the data from each independent experiment; however, the Shapiro-Wilk goodness of fit test showed non-normally distributed mortality values; therefore, the data of this variable were analyzed with the Kruskal-Wallis test. The results found in each of the nine experiments and in the combined analysis are shown in Table 3. The highest percentage differences between treatments in BW, FCR and EPEF were +5.28, -4.50 and +6.65% in experiments EX6, EX5 and EX1, respectively; however, even these differences were not statistically significant (p>0.12). Similarly, the combined analysis of the nine experiments under a completely randomised block design showed no statistically significant effects on any of the tested variables (p>0.08).
Meta-analyses results: Table 4 shows the meta-analyses results. Test for the goodness of fit of model residuals found mortality values being non-normally distributed; therefore, the overall effect size p-value for this variable was recalculated by applying a permutation test. BW (Fig. 1), FI (Fig. 2), mortality (Fig. 3) and EPEF (Fig. 4) showed no significant (p>0.05) overall effect sizes and had CI95% with limit values with opposite mathematical signs (positive, negative). A statistically significant (p<0.05) overall effect size was found in FCR (Fig. 5), with a CI95% with negative limit values. The Trim and Fill tests determined and estimated possibly missing BW, FI and mortality values; however, the CI95% of the adjusted overall effect sizes for all these variables, were overlapped with the CI95% calculated with the original data; therefore, if biases existed, they were not considered to be relevant. In addition, Egger tests did not detect statistically significant bias (p>0.50) and no statistically significant heterogeneity was found among experiments in any of the tested variables (p>0.23).
DISCUSSION
This study investigated the effect of a phytogenic feed additive on the performance of broilers. We sought to explore three different approaches to analyze the data from nine 
Meta-Analysis of Commercial-Scale Trials as a Means to Improve Decision-Making Processes in the Poultry Industry: A Phytogenic Feed Additive Case Study - Image 7
Fig. 1: Forest plot of the effects of a phytogenic feed additive on the body weight of 42-day-old broilers (nine experiments)
Meta-Analysis of Commercial-Scale Trials as a Means to Improve Decision-Making Processes in the Poultry Industry: A Phytogenic Feed Additive Case Study - Image 8
Fig. 2: Forest plot of the effects of a phytogenic feed additive on the feed intake of 42-day-old broilers (nine experiments)
Meta-Analysis of Commercial-Scale Trials as a Means to Improve Decision-Making Processes in the Poultry Industry: A Phytogenic Feed Additive Case Study - Image 9
Fig. 3: Forest plot of the effects of a phytogenic feed additive on the mortality of 42-day-old broilers (nine experiments)
experiments to increase the likelihood of finding statistically significant effects, if they existed. The aim of this study was to determine a suitable method to improve decision-making processes related to nutrition and feeding strategies in the poultry industry.
The results showed that neither analyzing the data from the different experiments independently under completely randomised designs, nor combining all the data under a block design, led to statistically significant effects in any of the tested variables. The lack of sensitivity to detect differences as big as +5.28, -4.50 and +6.65% in BW, FCR and EPEF, respectively, was influenced by the low number of replications used in the experiments21. However, this is the usual scenario faced by the industry when evaluating nutrition or feeding 
Meta-Analysis of Commercial-Scale Trials as a Means to Improve Decision-Making Processes in the Poultry Industry: A Phytogenic Feed Additive Case Study - Image 10
Fig. 4: Forest plot of the effects of a phytogenic feed additive on the European production efficiency factor of 42-day-old broilers (nine experiments)
Meta-Analysis of Commercial-Scale Trials as a Means to Improve Decision-Making Processes in the Poultry Industry: A Phytogenic Feed Additive Case Study - Image 11
Fig. 5: Forest plot of the effects of a phytogenic feed additive on the feed conversion ratio of 42-day-old broilers (nine experiments)
strategies under actual commercial-scale conditions40. Under such situations, there are three main consequences: (1) Companies take positive decisions but without the desired confidence and, consequently, become short-lived, (2) decision-making processes become complex and longer; or (3) no decision is taken, status quo is maintained and the opportunity to improve results may be lost. In addition, it has been reported that when it is more difficult for a person to make decisions based on rigorous reasoning, it ultimately leads to a more intuitive and heuristic thinking process due to decision fatigue; consequently, less judicious decisions are taken41.
Although none of the independent experiments showed significant effects on the studied variables (p>0.05), this should not be interpreted as that the evaluated product does not produce an effect on these response variables. Instead, this may be explained by the fact that in hypothesis testing, the null hypothesis (that both means are equal) can only be rejected and not proved42,43. In this regard, under the Neyman-Pearson dichotomous approach, a p-value greater than the pre-established α level of significance in a hypothesis test of the difference of two means determines that the null hypothesis must be exhaustively accepted as true. However, the Fischer approach considers the p-value as a continuous measure of the strength of evidence44 and states that the absence of a significant effect could only indicate that, if such an effect exists, it is not sufficiently large to be detected by an experiment of the size used45.
Although the meta-analyses did not detect effects on BW, FI, mortality, or EPEF, we demonstrated an improvement in FCR that was due to the feed additive tested, in that the supplemented birds converted feed to body weight more efficiently (35 g less feed per kg body weight obtained). No significant heterogeneity was detected among experiments (p>0.87), indicating that the effect of the feed additive on the FCR was not inconsistent across the nine experiments. In addition, the CI of the effect size in FCR (0.0006 to 0.0686 less FCR points) indicates that, regardless of the accuracy of the estimation of the effect, the real effect of the phytogenic on feed efficiency is positive43.
The effect of the tested phytogenic feed additive found in FCR agrees with previous reports about the effect of oregano essential oil on the FCR of broilers17,46-49. This finding is consistent with the antimicrobial9,10, antioxidant11-13, endogenous enzyme activity promoting10,14, prebiotic15, anticoccidial18 and gut mucosa promoting effects16 of oregano essential oil that have been previously shown. Besides, previous studies have reported positive effects of oregano essential oil on intestinal mucosa structure, nutrient absorption capacity, bone mineralization and overall performance50. It has been reported that the effect of oregano essential oil on broiler performance could be challenge-dependent19; however, in the current study, the experiments were conducted under commercial conditions, unavoidably implying certain intestinal challenges, since reused litter material was used in all experiments51-53.
In the present study, when combining the data from all the experiments under a completely randomized block design, the statistical power for FCR increased and, therefore, the p-value (p = 0.085) was lower in comparison to that observed in individual experiments (p-values: 0.151-0.867). However, the p-value was not only not considered significant but also was 85% higher than that obtained for the overall effect on FCR through meta-analysis (p = 0.046).
Thus, in the present analysis, we demonstrate how meta-analyses of the results obtained in different experiments favour the probability of detecting an effect, when it exists, that may not be evident in independent experiments. In this regard, although the meta-analyses carried out using random effects models do not guarantee that the inclusion of additional studies increases the statistical power of the analysis, in general, it does increase the statistical power in comparison to the independent studies24,25. This is particularly useful when the critical response variable in an experiment is FCR, as usually a small percentage effect, even less than 2%54, is sufficient for the poultry producer to justify making a favourable decision regarding the nutritional benefit of the feeding strategy tested. In addition, significant effect sizes obtained by meta-analysis also allows the nutritionist to make a cost-sensitivity analysis55,56. Previous meta-analyses have detected small percentage effects on FCR in broilers54, layer hens57 and pigs58; however, to the best of our knowledge, a meta-analysis approach has not yet been reported for analysing commercial size trials with a low number of replications to help improve statistical sensitivity.
Experiment standardization is a common strategy to increase the sensitivity of the test; however, this also reduces the reproducibility of the results59. In this regard, meta-analysis of commercial-scale experiments not only allows the sensitivity of the analysis to be increased24 but also preserves the reproducibility of the results, as they are performed in conditions less homogeneous than those of a highly controlled research facility. Therefore, the higher the systematic variation, the greater the reproducibility of the experiment59. Finally, in poultry nutrition research, statistical sensitivity and growing conditions similar to the industry are commonly opposite objectives, as the more sensitive a design is, the more replications it takes and the smaller they become21; however, a meta-analysis can go some way to help solve this dichotomy.
CONCLUSION
In the present study, we tested a phytogenic feed additive, based on oregano essential oil, providing no less than 45 g carvacrol per kg of product and fed at an inclusion rate of 0.05%, continuously from 1-42 day. Based on the observed results, it can be concluded that the tested product improved the FCR of broilers under commercial-scale conditions, in that it increased the efficiency of converting feed into BW (35 g less feed per 1 kg of BW obtained). In addition, the analysis of the nine conducted experiments using a meta-analysis approach improved the statistical power to a greater magnitude than that observed by applying a block design. Moreover, the meta-analysis was sensitive enough to detect a statistical significance that, otherwise, would have remained undetected.
SIGNIFICANCE STATEMENT
This study demonstrated that meta-analysis is a useful technique to improve statistical power and to help find statistically significant differences, if they exist, when testing nutritional interventions under commercial conditions. We postulate that the use of meta-analysis in the poultry industry would help industry nutritionists and researchers to establish a more efficient but still simple, system to evaluate nutrition interventions, including feed additives and consequently, provide a means to facilitate and objectivize decision-making processes.
 
This article was originally published in International Journal of Poultry Science, 19: 513-523. DOI: 10.3923/ijps.2020.513.523. This is an Open Access article distributed under the terms of the Creative Commons Attribution License.

1. Aviagen, 2011. Optimizing Broiler Feed Conversion Ratio.
Arbor Acres service bulletin 0711-AVNAA-029
2. Willems, O.W., S.P. Miller and B.J. Wood, 2013. Aspects of selection for feed efficiency in meat producing poultry.
World's Poult. Sci. J., 69: 77-88.
3. Maharjan, P., J. Weil, A. Beitia, N. Suesuttajit and K. Hilton et al., 2020. In vivo collagen and mixed muscle protein turnover in 2 meat-type broiler strains in relation to woody breast myopathy. Poult. Sci., 10.1016/j.psj.2020.06.059
4. Maharjan, P., G. Mullenix, K. Hilton, A. Beitia and J. Weil et al.,
2020. Effects of dietary amino acid levels and ambient temperature on mixed muscle protein turnover in Pectoralis major during finisher feeding period in two broiler lines. J.
Anim. Physiol. Anim. Nutr., 10.1111/jpn.13363
5. Rostagno, H., L. Páez and L. Albino, 2007. Nutrient
Requirements of Broilers for Optimum Growth and Lean
Mass. Proceeding of 16th European Nutrition Symposium on
Poultry Nutrition. August 26-30, 2007 91-98.
6. Zhang, B., J. Weil, A.B. Guerra, P. Maharjan and K. Hilton et al.,
2020. Egg shell quality and bone status as affected by environmental temperature, ca and non-phytate p intake and
In vitro limestone solubility in single-comb white leghorn hens. Int. J. Poult. Sci., 19: 219-231.
7. IRTA, 2015. Review of immune stimulator substances/agents that are susceptible of being used as feed additives: mode of action and identification of end-points for efficacy assessment. EFSA supporting publication, Catalonia, Spain
Pages: 266.
8. Russo, M., G.C. Galletti, P. Bocchini and A. Carnacini, 1998.
Essential oil chemical composition of wild populations of
Italian oregano spice (Origanum vulgare ssp. hirtum (Link)
Ietswaart): A preliminary evaluation of their use in chemotaxonomy by cluster analysis. 1. inflorescences. J. Agric.
Food Chem., 46: 3741-3746.
9. Helander, I.M., H.L. Alakomi, K. Latva-Kala, T. MattilaSandholm and I. Pol et al., 1998. Characterization of the action of selected essential oil components on gram-negative bacteria. J. Agric. Food Chem., 46: 3590-3595.
10. Lee, K.W., H. Everts and A.C. Beynen, 2004. Essential oils in broiler nutrition. Int. J. Poult. Sci., 3: 738-752.
11. Deighton, N., S.M. Glidewell, S.G. Deans and B.A. Goodman,
1993. Identification by epr spectroscopy of carvacrol and thymol as the major sources of free radicals in the oxidation of plant essential oils. J. Sci. Food Agric., 63: 221-225.
12. Mathe, A., 2009. Essential Oils: Biochemistry, Production and
Utilisation. In: Phytogenics in Animal Nutrition: Natural
Concepts to Optimize Gut Health and Performance, Steiner,
T. (Ed.). Nottingham University Press, England, ISBN:
9781904761716.
13. Applegate, T.J., V. Klose, T. Steiner, A. Ganner and
G. Schatzmayr, 2010. Probiotics and phytogenics for poultry:
Myth or reality? J. Applied Poult. Res., 19: 194-210.
14. Malayoglu, H.B., S. Baysal, Z. Misirlioglu, M. Polat, H. Yilmaz and N. Turan, 2010. Effects of oregano essential oil with or without feed enzymes on growth performance, digestive enzyme, nutrient digestibility, lipid metabolism and immune response of broilers fed on wheat-soybean meal diets. Br. Poult. Sci., 51: 67-80.
15. Dorman, H.J.D. and S.G. Deans, 2000. Antimicrobial agents from plants: Antibacterial activity of plant volatile oils. J.
Applied Microbiol., 88: 308-316.
16. Levkut, M., A. Marcin, V. Revajova, L. Lenhardt and
I. Danielovic et al., 2011. Influence of oregano extract on the intestine, some plasma parameters and growth performance in chickens. Acta Vet. Beograd., 61: 215-225.
17. Giannenas, I., P. Florou-Paneri, M. Papazahariadou,
E. Christaki, N.A. Botsoglou and A.B. Spais, 2003. Effect of dietary supplementation with oregano essential oil on performance of broilers after experimental infection with
Eimeria tenella. Arch. Anim. Nutr., 57: 99-106.
18. Mohiti-Asli, M. and R.M. Ghanaatparast, 2015. Dietary oregano essential oil alleviates experimentally induced coccidiosis in broilers. Preventive Vet. Med., 120: 195-202.
19. Fukayama, E.H., A.G. Bertechini, A. Geraldo, R.K. Kato and
L.D.S. Murgas, 2005. Extrato de orégano como aditivo em rações para frangos de corte. Rev. Bras. Zootecnia,
34: 2316-2326.
20. Baser, K.H.C., 2002. Aromatic biodiversity among the flowering plant taxa of Turkey. Pure Applied Chem.,
74: 527-545.
21. Murugesan, G.R., N.K. Gabler and M.E. Persia, 2014. Effects of direct-fed microbial supplementation on broiler performance, intestinal nutrient transport and integrity under experimental conditions with increased microbial challenge. Br. Poult. Sci.,
55: 89-97.
22. Shim, M.Y. and G.M. Pesti, 2014. The use of a pen-size optimization workbook for experiment research design using the visual basic for applications in excel for poultry. J. Applied
Poult. Res., 23: 315-322.
23. Demétrio, C.G.B., J.F.M. Menten, R.A. Leandro and C. Brien,
2013. Experimental power considerations̶Justifying replication for animal care and use committees. Poult. Sci.,
92: 2490-2497.
24. Cohn, L.D. and J.B. Betsy, 2003. How meta-analysis increases statistical power. Psychol. Methods, 8: 243-253.
25. Borenstein, M., L.V. Hedges, J.P.T. Higgins and H.R. Rothstein,
2009. Power Analysis for Meta Analysis. In: Introduction to
Meta Analysis. Borenstein, M., L.V. Hedges, J.P.T. Higgins and
H.R. Rothstein (Eds.). John Wiley & Sons, Ltd Hoboken, New
Jersey pp: 257-276.
26. Cobb-Vantress, 2015. Broiler performance and nutrition supplement. July 2015. http://www.cobb-vantress.com/docs/ default-source/cobb-500-guides/Cobb500_Broiler_
Performance_And_Nutrition_Supplement.pdf.
27. Marcu, A., I. Vacaru-Opri , G. Dumitrescu, L.P. Ciochin| and
A. Marcu et al., 2013. The influence of genetics on economic efficiency of broiler chickens growth. Anim. Sci. Biotechnol.,
46: 339-346.
28. Petschenka, G., C. Pick, V. Wagschal and S. Dobler, 2013.
Functional evidence for physiological mechanisms to circumvent neurotoxicity of cardenolides in an adapted and a non-adapted hawk-moth species. Proc. R. Soc. B, Vol. 280
10.1098/rspb.2012.3089
29. Adler, J., 2009. R in a Nutshell: A Desktop Quick Reference.
1st Edn., OʼReilly Media Sebastopol, California .
30. Grubbs, F.E., 1969. Procedures for detecting outlying observations in samples. Technometrics, 11: 1-21.
31. McDonald, J.H., 2009. Handbook of Biological Statistics.
2nd Edn., Sparky House Publishing, Baltimore, Maryland.
32. Noortgate, V.d., W. Onghena and Patrick, 2003. Multilevel meta-analysis: A comparison with traditional meta-analytical procedures. Educ. Psychol. Meas., 63: 765-790.
33. Hedges, L.V. and I. Olkin, 1985. Parametric Estimation of Effect
Size from a Series of Experiments. In: Statistical Methods for
Meta-Analysis. Hedges, L.V. and I. Olkin, Academic Press Inc.,
United States of America pp: 107-145.
34. Bougouin, A., J.A.D.R.N. Appuhamy, E. Kebreab, J. Dijkstra,
R.P. Kwakkel and J. France, 2014. Effects of phytase supplementation on phosphorus retention in broilers and layers: A meta-analysis. Poult. Sci., 93: 1981-1992.
35. Motulsky, H.J., 2007. Graphpad prism 5.00 Statistics Guide.
GraphPad Software, inc. https://cdn.graphpad.com/faq/2/file/
Prism_v5_Statistics_Guide.pdf
36. SAS, 2017. Base SAS®
9.4 procedures guide. 7th Edn., SAS
Institute, Inc., North Carolina, USA Pages: 175.
37. Viechtbauer, W., 2010. Conducting meta-analyses in R with the metafor package. J. Stat. Software, Vol. 36, No. 3
10.18637/jss.v036.i03
38. R Core Team., 2018. R: A language and environment for statistical computing. R Foundation for Statistical Computing,
Vienna, Austria.
39. RStudio, 2016. RStudio: integrated development for R.
RStudio Inc.,. https://rstudio.com
40. Dawkins, M.S., 2012. Commercial scale research and assessment of poultry welfare. Br. Poult. Sci., 53: 1-6.
41. Hirshleifer, D., Y. Levi, B. Lourie and S.H. Teoha, 2019. Decision fatigue and heuristic analyst forecasts. J. Financial Econ.,
133: 83-98.
42. Nicholls, N., 2001. The Insignificance of Significance Testing.
Bull. Amer. Meteor. Soc., 82: 981-986.
43. Blackwelder, W.C., 1982. “Proving the null hypothesis” in clinical trials. Controlled Clin. Trials, 3: 345-353.
44. Dragicevic, P., 2016. Fair Statistical Communication in HCI.
In: Modern Statistical Methods for HCI. Robertson, J. and
M. Kaptein (Eds.). Springer, Cham Switzerland pp: 291-330.
45. Chris, O. and W.H. Freeman, 2002. The Lady Tasting Tea: How
Statistics Revolutionized Science in the Twentieth Century.
American Statistical Association United States of America
Pages: 650.
46. Roofchaee, A., M. Irani, M.A. Ebrahimzadeh and M.R. Akbari,
2011. Effect of dietary oregano (Origanum vulgare L.) essential oil on growth performance, cecal microflora and serum antioxidant activity of broiler chickens. Afr. J.
Biotechnol., 10: 6177-6183.
47. Cho, J.H., H.J. Kim and I.H. Kim, 2014. Effects of phytogenic feed additive on growth performance, digestibility, blood metabolites, intestinal microbiota, meat color and relative organ weight after oral challenge with Clostridium perfringens in broilers. Livest. Sci., 160: 82-88.
48. Ghazi, S., T. Amjadian and S. Norouzi, 2014. Single and combined effects of vitamin C and oregano essential oil in diet, on growth performance and blood parameters of broiler chicks reared under heat stress condition. Int. J. Biometeorol.,
58: 741-752.
49. Peng, Q.Y., J.D. Li, Z. Li, Z.Y. Duan and Y.P. Wu, 2016. Effects of dietary supplementation with oregano essential oil on growth performance, carcass traits and jejunal morphology in broiler chickens. Anim. Feed Sci. Technol., 214: 148-153.
50. Martinez, D.A., 2012. Evaluación de un producto a base de aceite esencial de orégano sobre la integridad intestinal, la capacidad de absorción de nutrientes y el comportamiento productivo de pollos de carne. Master Thesis, Universidad
Nacional Agraria La Molina.
51. Bregendahl, K., D.U. Ahn, D.W. Trampel and J.M. Campbell,
2005. Effects of dietary spray-dried bovine plasma protein on broiler growth performance and breast-meat yield. J. Applied
Poult. Res., 14: 560-568.
52. Barker, K.J., J.L. Purswell, J.D. Davis, H.M. Parker, M.T. Kidd,
C.D. McDaniel and A.S. Kiess, 2010. Distribution of bacteria at different poultry litter depths1
. Int. J. Poult. Sci., 9: 10-13.
53. OʼReilly, E.L., R.J. Burchmore, N.H. Sparks and P.D. Eckersall,
2016. The effect of microbial challenge on the intestinal proteome of broiler chickens. Proteome Sci., Vol. 15, No. 10
10.1186/s12953-017-0118-0
54. Gaibor, J.R.Q., R. Torres, J. Yupanqui, D.M. Patiño-Patroni and
C.V. Perales, 2019. Suplementación alimenticia de glutamina sobre el desempeño productivo en pollos de engorde.
Siembra, 6: 15-24.
55. Campbell, M.K. and D.J. Torgerson, 1999. Bootstrapping:
Estimating confidence intervals for cost-effectiveness ratios.
Int. J. Med., 92: 177-182.
56. Martínez, D. and C. Uculmana, 2016. Extracto de alcachofa (Cynara scolymus L.): experiencias de uso en los mercados de producción animal y oportunidades para su producción en
Perú [Artichoke extract (Cynara scolymus L.): experiences of use in animal production markets and opportunities for its production in Peru]. Agroind. Sci., 6: 155-161.
57. Hooge, D.M., J.L. Pierce, K.W. McBride and P.J. Rigolin, 2010.
Meta-analysis of laying hen trials using diets with or without allzyme®
SSF enzyme complex. Int. J. Poult. Sci., 9: 824-827.
58. Quisirumbay-Gaibor, J., D.M. Patiño-Patroni and
C.V. Perales, 2020. Efecto de la suplementación de selenio sobre el rendimientoproductivo en cerdos: metaanálisis
[Effect of selenium supplementation on productive performance in pigs:meta-analysis]. Rev. Inv. Vet. Perú,
Vol. 31, No. 1.
59. Richter, S.H., J.P. Garner, C. Auer, J. Kunert and H. Wurbel,
2010. Systematic variation improves reproducibility of animal experiments. Nat. Methods, 7: 167-168.

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Authors:
Diego Martinez Patiño-Patroni
University of Arkansas (USA)
University of Arkansas (USA)
Carlos Vilchez
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