Size and Power of Test Statistics for Gene Correlation in 2 × 2 Contingency Tables

Monte Carlo simulation of size and power of two proposed tests for linkage disequilibrium between two genes each with two alleles were investigated. Results were compared with two commonly used statistics, the correlation coefficient r and the log-odds ratio tests. Depending on the sign of the linkage disequilibrium, the new tests were found to be more powerful than either of the correlation or log-odds ratio tests. However, on average (positive and negative linkage disequilibrium) the Chi-square test using the correlation coefficient was to a small extent more powerful than the other tests.     

Test Statistics for Three-Factor Interaction in 2 × 2 × 2 Contingency Tables

A Monte Carlo simulation was conducted in order to determine the size and power of two proposed tests (the covariance and correlation tests) for three-factor interaction in 2 × 2 × 2 contingency tables. Results were compared to the log-odds ratio test statistic. Simulation showed the correlation test to be more conservative than the covariance test, but less so than the log-odds ratio test. However, the correlation test was the most powerful among the three tests.     

The effects of Nosema algerae on the horizontal life table attributes of Anopheles stephensi under laboratory conditions

Under controlled insectary conditions, infection with Nosema algerae (Cnidospora: Microsporidia) was found to significantly alter the life table characteristics of Anopheles stephensi (Diptera: Culicidae) as follows: immature to adult survivorship decreased and developmental time was slightly delayed, female and male life expectancy at emergence decreased, fecundity, and thus the net reproductive rate, decreased, and the instantaneous rate of increase and the instantaneous birth and death rates decreased. The time in life of female reproduction and generation time were not significantly altered. Results are discussed in the context of vectorial capacity for malaria.     

Conditioning in 2 x 2 tables

Summary .  Two-by-two tables arise in a number of diverse settings in biomedical research, including analysis of data from a clinical trial with a binary outcome and gating methods in flow cytometry to separate antigen-specific immune responses from general immune responses. These applications offer interesting challenges concerning what we should really be conditioning on—the total number of events, the number of events in the control condition, etc. We give several biostatistics examples to illustrate the complexities of analyzing what appear to be simple data.     

Bayesian inference for a correlated 2 x 2 table with a structural zero

We develop a new Bayesian approach to interval estimation for both the risk difference and the risk ratio for a 2 x 2 table with a structural zero using Markov chain Monte Carlo (MCMC) methods. We also derive a normal approximation for the risk difference and a gamma approximation for the risk ratio. We then compare the coverage and interval width of our new intervals to the score-based intervals over various parameter and sample-size configurations. Finally, we consider a Bayesian method for sample-size determination.     

Statistical Inference For Risk Difference in an Incomplete Correlated 2 × 2 Table

In some infectious disease studies and 2‐step treatment studies, 2 × 2 table with structural zero could arise in situations where it is theoretically impossible for a particular cell to contain observations or structural void is introduced by design. In this article, we propose a score test of hypotheses pertaining to the marginal and conditional probabilities in a 2 × 2 table with structural zero via the risk/rate difference measure. Score test‐based confidence interval will also be outlined. We evaluate the performance of the score test and the existing likelihood ratio test. Our empirical results evince the similar and satisfactory performance of the two tests (with appropriate adjustments) in terms of coverage probability and expected interval width. Both tests consistently perform well from small‐ to moderate‐sample designs. The score test however has the advantage that it is only undefined in one scenario while the likelihood ratio test can be undefined in many scenarios. We illustrate our method by a real example from a two‐step tuberculosis skin test study.     

Soil surface CO2 flux in a Minnesota peatland

Soil surface CO₂ flux was measured in hollow and hummock microhabitats in a peatland in north central Minnesota from June to October in 1991. We used a closed infrared gas exchange system to measure soil CO₂ flux. The rates of CO₂ evolution from hummocks (9.8 ± 3.5 g m⁻² d⁻¹, [mean ± SE]) were consistently higher than those from hollows (5.4 ± 2.9 g m⁻² d⁻¹) (the hummock values included the contribution of moss dark respiration, which may account for 10–20% of the total measured flux). The soil CO₂ flux was strongly temperature-dependent (Q₁₀ ≈ 3.7) and appeared to be linearly related to changes in water table depth. An empirical multiplicative model, using peat temperature and water table depth as independent variables, explained about 81% of the variance in the CO₂ flux data. Using the empirical model with measurements of peat temperature and estimates of hollow/hummock microtopographic distribution (relative to water table elevation), daily rates of “site-averaged” CO₂ evolution were calculated. For the six-month period (May–October), the total soil CO₂ released from this ecosystem was estimated to be about 1340 g CO₂ m⁻². Published as Paper No. 9950, Journal Series, Nebraska Agricultural Research Division, University of Nebraska, Lincoln, NE, USA.     

民勤绿洲边缘地下水位变化对植物种群生态位的影响

在民勤绿洲边缘,利用空间区域不同地下水位(湖区8～12m,泉山区15～17m,坝区20～23m)和时间序列(1984～1992年)民勤沙井子地区地下水位下降(7.45～11.65m)梯度,研究地下水位下降对荒漠植物种群生态位的影响。结果表明:空间区域地下水位下降,植物种群生态位宽度均减小,种群退化;时间序列地下水位下降,白刺种群在扩展,其它植物种群在退化。白刺种群生态位宽度在民勤绿洲边缘荒漠植物群落中最大,是该区的建群种。由于白刺种群在地下水位7.45～11.65m范围内扩展,民勤绿洲生态环境治理中地下水位达到该范围是一个主要目标。     

Short-term effects of changing water table on N2O fluxes from peat monoliths from natural and drained boreal peatlands

The effect of the water table on nitrous oxide (N₂O) fluxes from peat profiles representing boreal peatlands of differing nutrient status was studied in the laboratory. Lowering of the water table in peat monoliths taken from two natural waterlogged peatlands for 14 weeks in a greenhouse at 20 °C increased the fluxes of N₂O, an effect that was enhanced further by incubation in the dark. Raising of the water table in monoliths from two drained and forested peatlands caused cessation of the N₂O fluxes from the drained peats, which had previously been sources of N₂O. It is known that N₂O fluxes have increased in peatlands drained several decades ago. The results suggest that it is not necessary for the water table to be lowered for several years to change a boreal peatland from a N₂O sink to a source of the gas. In addition to the draining of peatlands, climate change can be expected to lower ground water levels during the summertime in the boreal zone, and this could cause marked changes in N₂O fluxes from boreal peatlands by enhancing the microbial processes involved in nitrogen transformations.     

A Modified Exact Test for 2 × 2 Contingency Tables

A modified exact test is proposed for 2×2 contingency tables. This test, which is based on a less conservative definition of the concept of significance (STONE, 1969) is compared with a modified form of Pearson's X² test and with Tocher's randomized exact (UMPU) test. The sizes of the new test lie near the nominal 0.05 levels while those of the X² test usually exceed the nominal level, sometimes by a factor of 2 or more. The power of the modified test is usually close to that of the UMPU test.     

Population parameters and growth of Riptortus pedestris (Fabricius) (Hemiptera: Alydidae) under elevated CO2 concentrations

We evaluated the direct effects of three different CO₂ concentrations (400, 600 and 1,000 ppm) on the population parameters and growth of the bean bug, Riptortus pedestris, while being fed on soybean. The raw life history data from R. pedestris was analyzed using an age‐stage, two‐sex life table to take the viable development rate among individuals into account. Based on the age‐stage, two‐sex life table analysis, the population projections of R. pedestris provide the stage structure and variability of the population growth under different CO₂ treatments. Our results showed significantly shorter immature durations and higher pre‐adult survival rate under elevated CO₂ (1,000 ppm) than those under ambient CO₂ (400 ppm). The population of R. pedestris reared under elevated CO₂ conditions showed higher intrinsic and finite rates of increase but a lower mean generation time than R. pedestris reared under ambient CO₂ conditions. Our results show the population parameters and growth of R. pedestris are influenced by increased CO₂ relative to ambient CO₂ treatment. Further studies on the long‐term direct effects of different CO₂ levels on R. pedestris are essential to understand their population dynamics and to establish appropriate management strategies.     

华山松木蠹象自然种群的生命表

华山松木蠹象Pissodes punctatus Langor et Zhang在云南分布广泛,在曲靖市国营海寨林场对华山松的危害面积达6670hm2。在该林场连续6年对该虫的自然种群消长规律进行研究,将华山松木蠹象的生长发育过程分为卵期、1期幼虫期、2期幼虫期、蛹期、成虫期5个阶段。通过林间观察及室内饲养,得到该虫自然种群生命表。并通过回归分析,得到该虫消亡的关键因子主要为2期幼虫和蛹期的白僵菌,其次为2期幼虫和蛹期寄生蜂。     

侧多食跗线螨实验种群繁殖特征生命表

研究了侧多食跗线螨Polyphagotarsonemuslatus (Banks)在 2 5℃ ,相对湿度 85 %～ 90 % ,取食辣椒条件下的种群繁殖特征生命表。结果表明 :该螨的内禀增长力为 0 2 94 8,周限增长率为 1 34 2 9,净增殖率为 2 5 4 94 4,种群世代平均周期为 1 3 85 0 9d ,种群加倍时间为 2 35 1 2d ,在理论年龄组配中 ,未成熟期(卵、幼螨、若螨 )占 70 1 781 % ,成螨占 2 9 82 1 9%。     

Interactions in Contingency Table Analysis

Proceeding from Lancaster's definition of interactions between random variables, the authors set up a model for contingency tables of any dimension. Three-dimensional contingency tables are used as an example to discuss first and second order interaction effects, and the conventional independence are expressed by hypotheses concerning interaction effects. The opinions of other authors regarding second order interaction effects are discussed.     

Population parameters and growth of Myzus persicae Sulzer (Hemiptera: Aphididae) under elevated CO2 concentrations in the air

The effects of three different CO₂ concentrations (400, 600, and 1000 ppm) on the population parameters and growth of the green peach aphid, Myzus persicae, were examined. Raw life history data from M. persicae were analyzed using an age-stage, two-sex life table to take into account the viable development rate among individuals. The population projections of M. persicae indicate the stage structure and variability of the population growth under different CO₂ concentrations based on an age-stage, two-sex life table analysis. Significantly longer oviposition duration and higher fecundity were observed under elevated CO₂ (600 and 1000 ppm) than those under ambient CO₂ (400 ppm). Furthermore, the M. persicae population reared under elevated CO₂ concentrations showed higher intrinsic and finite rates of population increase than under ambient CO₂ concentrations. These results indicate that the population parameters and growth of M. persicae were positively influenced in the fecundity by elevated CO₂ concentrations relative to the ambient CO₂. These findings indicate that it is basically remained to understand the direct effects of CO₂ elevation on the host plants, and the interaction between the host plants and M. persicae in the same CO₂ concentration for establishing more realistic population growth model systems for M. persicae in the aerial environment rising CO₂ concentration level.     

温湿度对苜蓿盲蝽实验种群的影响

在４种温度、２种相对湿度的不同组合条件下,研究了温湿度对苜蓿盲蝽发育、存活和繁殖的影响。组建了生命表,并对各生命参数进行了比较。在３０℃、８０％ＲＨ条件下,种群的内禀增长率最大（ｒ＿ｍ＝０．０６７１８）,相应的增殖率极限λ＝１．０６９５／ｄ,平均世代周期Ｔ＝３２．０３１３ｄ,净生殖率Ｒ＿０＝８．６０１１。在试验的温度范围内,温度与内禀增长率之间呈抛物线趋势。     

One Degree of Freedom for Non-Additivity in a Contingency Table and Its Multivariate Extension

The paper develops a chi-square test with one degree of freedom for row-column interaction in a contingency table. Use is made of the JOHNSON-GRAYBILL [1972] model which is herein generalized to a twoway multiple response situation. Some of the merits of the new test over the better-known tests for the same hypothesis are discussed.