quadratic relationship
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2022 ◽  
Vol 8 ◽  
Author(s):  
Zhenkai Tong ◽  
Fuhong Lei ◽  
Lixuan Liu ◽  
Fei Wang ◽  
Aiwei Guo

The purpose of this experiment was to study the effects of Plotytarya strohilacea Sieb. et Zuce tannin on broilers growth performance, antioxidant function, intestinal development, intestinal morphology and the cecal microbial composition. In this experiment, a total of 360 1-day-old Arbor Acres male broilers were randomly divided into 4 treatment groups, with 6 replicates in each group and 15 broilers in each replicate. The control group (Control) was fed the basal diet, and the broilers were fed a basal diet supplemented with 0 (Control), 100 (PT1), 400 (PT2), and 800 (PT3) mg/kg Plotytarya strohilacea Sieb. et Zuce tannins for 42 days, respectively. The results showed that the average daily feed intake (ADFI) of the PT1 group was significantly lower than that of the control group, and there was a significant quadratic relationship between the ADFI and the concentration of tannin (P < 0.05). Compared with the control group, the F/G of broilers during the 22–42 days phase in the PT1 group showed a decreasing trend (P = 0.063). The serum catalase (CAT) activity in the PT1 group was significantly higher than those of the other three groups, and the effect was significantly quadratically related to the dosage (P < 0.05). The glutathione peroxidase (GSH-Px) activity in the PT1, PT2 and control groups were significantly higher than that of the PT3 group, and the effect was significantly quadratically related to the addition amount (P < 0.05). The serum total antioxidant capacity (T-AOC) activity in the PT1 group was significantly higher than that in the control group, and the effect was significantly quadratically related to the addition amount (P < 0.05). Compared to the control group, the villus height of jejunum in the PT1, PT2 and PT3 groups were significantly higher, and there was a significant quadratic relationship between the villus height of jejunum and the addition amount (P < 0.05). In addition, adding tannins to diets significantly increased Parabacteroides in the dominant genus (P < 0.05). In conclusion, dietary supplementation with Plotytarya strohilacea Sieb. et Zuce tannin improved the growth performance, antioxidant function, and intestinal morphology along with an increased abundance of Parabacteroides in the cecum, and the recommended dosage of tannin in broiler diets was 100 mg/kg.


2021 ◽  
Author(s):  
Matthew James Davidson ◽  
James Macdonald ◽  
Nick Yeung

Variability in the detection and discrimination of weak visual stimuli has been linked to prestimulus neural activity. In particular, the power of oscillatory activity in the alpha-band (8-12 Hz) has been shown to impact upon the objective likelihood of stimulus detection, as well as measures of subjective visibility, attention, and decision confidence. We aimed to clarify how prestimulus alpha influences performance and phenomenology, by recording simultaneous subjective measures of attention and confidence (Experiment 1), or attention and visibility (Experiment 2) on a trial-by-trial basis in a visual detection task. Across both experiments, prestimulus alpha power was negatively and linearly correlated with the intensity of subjective attention. In contrast to this linear relationship, we observed a quadratic relationship between the strength of prestimulus alpha power and subjective ratings of confidence and visibility. We find that this same quadratic relationship links prestimulus alpha power to the strength of stimulus evoked responses. Visibility and confidence judgements corresponded to the strength of evoked responses, but confidence, uniquely, incorporated information about attentional state. As such, our findings reveal distinct psychological and neural correlates of metacognitive judgements of attentional state, stimulus visibility, and decision confidence.


Water ◽  
2021 ◽  
Vol 13 (20) ◽  
pp. 2814
Author(s):  
Mohammad Hassan Dehghanipour ◽  
Hojat Karami ◽  
Hamidreza Ghazvinian ◽  
Zahra Kalantari ◽  
Amir Hossein Dehghanipour

Evaporation from surface water plays a crucial role in water accounting of basins, water resource management, and irrigation systems management. As such, the simulation of evaporation with high accuracy is very important. In this study, two methods for simulating pan evaporation under different climatic conditions in Iran were developed. In the first method, six experimental relationships (linear, quadratic, and cubic, with two input combinations) were determined for Iran’s six climate types, inspired by a multilayer perceptron neural network (MLP-NN) neuron and optimized with the genetic algorithm. The best relationship of the six was selected for each climate type, and the results were presented in a three-dimensional graph. The best overall relationship obtained in the first method was used as the basic relationship in the second method, and climatic correction coefficients were determined for other climate types using the genetic algorithm optimization model. Finally, the accuracy of the two methods was validated using data from 32 synoptic weather stations throughout Iran. For the first method, error tolerance diagrams and statistical coefficients showed that a quadratic experimental relationship performed best under all climatic conditions. To simplify the method, two graphs were created based on the quadratic relationship for the different climate types, with the axes of the graphs showing relative humidity and temperature, and with pan evaporation, were drawn as contours. For the second method, the quadratic relationship for semi-dry conditions was selected as the basic relationship. The estimated climatic correction coefficients for other climate types lay between 0.8 and 1 for dry, semi-dry, semi-humid, Mediterranean climates, and between 0.4 and 0.6 for humid and very humid climates, indicating that one single relationship cannot be used to simulate pan evaporation for all climatic conditions in Iran. The validation results confirmed the accuracy of the two methods in simulating pan evaporation under different climatic conditions in Iran.


Author(s):  
Mohammad Hassan Dehghanipour ◽  
Hojat Karami ◽  
Hamidreza Ghazvinian ◽  
Zahra Kalantari ◽  
Amir Hossein Dehghanipour

Evaporation from surface water plays a key role in water accounting of basins, water resources management, and irrigation systems management, so simulating evaporation with high accuracy is very important. In this study, two methods for simulating pan evaporation under different climatic conditions in Iran were developed. In the first method, six experimental relationships (linear, quadratic, and cubic, with two input combinations) were determined for Iran’s six climate types, inspired by a multilayer perceptron neural network (MLP-NN) neuron and optimized with the genetic algorithm. The best relationship of the six was selected for each climate type, and the results were presented in a three-dimensional graph. In the second method, the best overall relationship obtained in the first method was used as the basic relationship, and climatic correction coefficients were determined for other climate types using the genetic algorithm optimization model. Finally, the accuracy of the two methods was validated using data from 32 synoptic weather stations throughout Iran. For the first method, error tolerance diagrams and statistical coefficients showed that a quadratic experimental relationship performed best under all climatic conditions. To simplify the method, two graphs were created based on the quadratic relationship for the different climate types, with the axes of the graphs showing relative humidity and temperature, and with pan evaporation was drawn as contours. For the second method, the quadratic relationship for semi-dry conditions was selected as the basic relationship. The estimated climatic correction coefficients for other climate types lay between 0.8 and 1 for dry, semi-dry, semi-humid, Mediterranean climates, and between 0.4 and 0.6 for humid and very humid climates, indicating that one single relationship cannot be used to simulate pan evaporation for all climatic conditions in Iran. The validation results confirmed the accuracy of the two methods in simulating pan evaporation under different climatic conditions in Iran.


2021 ◽  
Vol 1 (1) ◽  
Author(s):  
Taylor Dinyer-McNeely ◽  
Pasquale J. Succi ◽  
Caleb C. Voskuil ◽  
M. Travis Byrd ◽  
Haley C. Bergstrom

Introduction: This study examined the electromyographic (EMG) and mechanomyographic (MMG), amplitude (AMP) and mean power frequency (MPF) responses during bilateral, leg extension exercise performed to failure at a moderate (70% one-repetition maximum [1RM]) load. Methods: Eleven men completed a 1RM and repetitions to failure at 70% 1RM of the leg extension. The EMG and MMG signals were recorded from the right and left vastus lateralis. Polynomial regression analyses were used to determine individual and composite, normalized neuromuscular responses for both limbs. Results: For EMG AMP, both limbs demonstrated positive, quadratic relationships. For EMG MPF, the right limb demonstrated a negative, cubic relationship and the left limb demonstrated a negative, quadratic relationship. For MMG AMP, the right limb demonstrated a positive, quadratic relationship and the left limb demonstrated a positive, linear relationship. For MMG MPF, both limbs demonstrated negative, linear relationships. 18-45% of the subjects demonstrated the same responses as the composite for the EMG and MMG signals. 14% of the subjects demonstrated the same direction and pattern of response for the right and left limb intra-individual responses. Conclusions: The variability in the inter- and intra-individual responses highlight the necessity to report individual neuromuscular responses when examining fatiguing resistance exercise.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Herbert Smoluk ◽  
Rozhin Yousefvand Mansouri

PurposeDespite numerous studies, our understanding of the determinants of disability insurance (DI) claim rates in the USA is clouded. When the unemployment (UE) rate soars during an economic downturn such as the spread of COVID-19, assuming a linear positive relationship between the two variables, as the prior literature has suggested, forewarns a large spike in DI claim rates. Yet, if the model is misspecified, it can lead to misinformed decisions such as reducing DI awards during an economic downturn when such awards are needed the most. This study aims to improve the accuracy of the DI claims' prediction.Design/methodology/approachThis study suggests that the relationship between the UE rate and DI claim rate is nonlinear and examines this hypothesis using a panel dataset of 866 state-year observations from 2002–2018.FindingsThe results provided compelling evidence in support of the proposed quadratic relationship between the UE rate and DI claim rate and revealed that compared to a quadratic model, the linear model overestimated the DI claim rate by approximately 18 percent or 172,000 claims per year.Practical implicationsGiven that DI awards represent hundreds of thousands of dollars in present value terms, the impact of increase in DI claims on the Social Security Disability Fund during an economic downturn might not be as high as some model might forecast.Originality/valueTo our knowledge, no other studies have examined a quadratic relationship between the UE rate and the DI claim rate. This study is especially relevant during the coronavirus (COVID-19) pandemic and its aftermath. In April 2020, the UE rate spiked to nearly 15 percent nationwide, with Nevada and Michigan at 28 percent and 22.7 percent, respectively. The nonlinear model used in this study suggests that, as the UE increases, DI claims increase, albeit at a decreasing rate. On the contrary, a linear relationship between the UE rate and DI claim rates implies that the increase in the DI claim rate would be constant regardless of the UE rate. This misspecification can result in misinformed decisions, such as the reduction of DI awards because of the overestimation of claims during economic downturns. This can lead to lower award rates during economic turmoil when this assistance is most needed.


2021 ◽  
Vol 12 ◽  
Author(s):  
Andriy A. Struk ◽  
Abigail A. Scholer ◽  
James Danckert

Conditions of low and high perceived control often lead to boredom, albeit for different reasons. Whereas, high perceived control may be experienced as boring because the situation lacks challenge, low perceived control may be experienced as boring because the situation precludes effective engagement. In two experiments we test this proposed quadratic relationship. In the first experiment we had participants play different versions of the children's game “rock-paper-scissors” in which they arbitrarily won (intended to maximize feelings of control) or lost (to induce feelings of low control). Despite having only dichotomous conditions, participants reported experiencing a broad range of levels of perceived control. Consistent with our predictions, boredom was highest at low and high levels of perceived control (i.e., a quadratic relation between perceived control and felt boredom). Experiment 2 tested the notion that the mere prospect of gaining control may mitigate boredom. Participants given to believe (erroneously) that they could gain control over the game of rock, paper, scissors were less bored than those who believed there was no possibility of winning at greater than chance levels. This suggests that beliefs concerning prospective control, rather than a given level of perceived control per se, may predict engagement and boredom.


Assessment ◽  
2021 ◽  
pp. 107319112110019
Author(s):  
Chester Chun Seng Kam ◽  
John P. Meyer ◽  
Shaojing Sun

The current research challenges the received view that misresponses to reversed items are the result of participants’ irrational behavior. On the contrary, for participants at a midpoint level of a trait, it is perfectly logical to agree and disagree with seemingly equivalent statements (e.g., I’m not tall, but neither am I short). For this reason, regular and reversed items for a unidimensional construct were predicted to load on separate factors. Two types of reversed items—polar opposites and negated regular items—were also predicted to load on separate factors, as they are qualitatively different. An empirical study supported this explanation. Differential responding was found to be highest for participants at the mid-level of a trait and diminished toward the ends, revealing a quadratic relationship and a trait × method interaction. Thus, our findings demonstrate that the logical response pattern of individuals at the mid-level of a trait is another previously unrecognized explanation for why the inclusion of regular and reverse-keyed items can contribute to the apparent bi-dimensionality of unidimensional constructs (for data analysis results, see https://osf.io/krh2w/ ).


2021 ◽  
Vol 28 (2) ◽  
pp. 29-37
Author(s):  
Rei Amemiya ◽  
Masahiro Yoshida ◽  
Yosuke Sakairi

2021 ◽  
Author(s):  
Manuel Mohr ◽  
Thomas Laemmel ◽  
Martin Maier ◽  
Sven Kolbe ◽  
Christopher Jung ◽  
...  

<p>Previous studies showed at a forest site, that small air pressure fluctuations that are generated during periods of high wind speed significantly enhance topsoil gas transport, which is called pressure-pumping. The strength of these air pressure fluctuations can be described by the pressure pumping coefficient (<em>PPC</em>) which is defined as the mean absolute slope between two measurements (0.5 s) per 30 min interval. It was shown that at this site a quadratic relationship exists between the <em>PPC </em>and above canopy wind speed.</p><p>To investigate the variability of small air pressure fluctuations, high-frequency airflow and air pressure measurements were carried out at ten European and American sites with different land use (grassland, crop, forest, urban). The air pressure fluctuations were generally measured above the soil surface and airflow above the site-specific canopy (above trees in forests, on the top of a high building in the city). The measurements took place between 2016 and 2020 and commonly lasted at least one month per site.</p><p>Results show that the site-specific <em>PPC </em>increases in a quadratic relationship with above-canopy wind speed at all sites. The data was very close to a quadratic relationship at sites with rather uniform forests and level topography (R² > 0.92), while more complex sites revealed a larger scattering of this correlation (R² > 0.65).</p><p>At some sites, the <em>PPC </em>is also highly dependent on the prevailing wind direction. It is shown that the local surface roughness of the plant canopy can be excluded as a main driver of the PPC. Moreover, analysis of surface roughness parameters suggests that the topographic exposure around the measurement sites is responsible for the variability in the <em>PPC</em>.</p><p>However, due to the limited data availability and the complexity of the sites (topography, canopy, buildings), it cannot yet be ruled out that other effects have an influence on the <em>PPC</em>. In any case, from the results it can be inferred that wind-induced air pressure fluctuations responsible for pressure-pumping are detectable over a variety of natural and artificial surfaces. It must, therefore, be assumed that they have the potential to increase the diffusion-limited transport rate of trace gases in the soil as well as the soil-atmosphere exchange of trace gases over a large number of surfaces during periods of high wind speed.</p>


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