CME: Seltene Klinik bei bakterieller Meningitis

Zusammenfassung. Wir berichten über die Diagnose und den klinischen Verlauf bei einer 59-jährigen Patientin mit seit drei Tagen bestehender wässeriger Rhinorrhö, leichtem Husten und neu aufgetretenen Kopfschmerzen. Die notfallmässigen Abklärungen ergaben die Diagnose einer akuten bakteriellen Meningitis, worauf eine empirische Behandlung gestartet wurde. Bei Vigilanzstörung und Zunahme der Rhinorrhö konnte laboranalytisch mittels Beta-Trace-Test eine Rhinoliquorrhö nachgewiesen werden. Nach initialer Stabilisierung der Patientin erfolgte eine chirurgische Schädelbasisexploration, in welcher beidseitige Liquorlecks verschlossen werden konnten.

Multiprojective witness sets and a trace test

In the field of numerical algebraic geometry, positive-dimensional solution sets of systems of polynomial equations are described by witness sets. In this paper, we define multiprojective witness sets which encode the multidegree information of an irreducible multiprojective variety. Our main results generalise the regeneration solving procedure, a trace test, and numerical irreducible decomposition to the multiprojective case. Examples are included to demonstrate this new approach.

Comparison of Test Statistics of Nonnormal and Unbalanced Samples for Multivariate Analysis of Variance in terms of Type-I Error Rates

In this study, we investigate how Wilks’ lambda, Pillai’s trace, Hotelling’s trace, and Roy’s largest root test statistics can be affected when the normal and homogeneous variance assumptions of the MANOVA method are violated. In other words, in these cases, the robustness of the tests is examined. For this purpose, a simulation study is conducted in different scenarios. In different variable numbers and different sample sizes, considering the group variances are homogeneous σ12=σ22=⋯=σg2 and heterogeneous (increasing) σ12<σ22<⋯<σg2, random numbers are generated from Gamma(4-4-4; 0.5), Gamma(4-9-36; 0.5), Student’s t(2), and Normal(0; 1) distributions. Furthermore, the number of observations in the groups being balanced and unbalanced is also taken into account. After 10000 repetitions, type-I error values are calculated for each test for α = 0.05. In the Gamma distribution, Pillai’s trace test statistic gives more robust results in the case of homogeneous and heterogeneous variances for 2 variables, and in the case of 3 variables, Roy’s largest root test statistic gives more robust results in balanced samples and Pillai’s trace test statistic in unbalanced samples. In Student’s t distribution, Pillai’s trace test statistic gives more robust results in the case of homogeneous variance and Wilks’ lambda test statistic in the case of heterogeneous variance. In the normal distribution, in the case of homogeneous variance for 2 variables, Roy’s largest root test statistic gives relatively more robust results and Wilks’ lambda test statistic for 3 variables. Also in the case of heterogeneous variance for 2 and 3 variables, Roy’s largest root test statistic gives robust results in the normal distribution. The test statistics used with MANOVA are affected by the violation of homogeneity of covariance matrices and normality assumptions particularly from unbalanced number of observations.

A Relationship Between the One-Way MANOVA Test Statistic and the Hotelling Lawley Trace Test Statistic

The One-Way MANOVA model is a special case of the multivariate linear model, and this paper shows that the One-Way MANOVA test statistic and the Hotelling Lawley trace test statistic are equivalent if the design matrix is carefully chosen.

Komparasi Keefektifan Saintifik dan PMRI Ditinjau dari Prestasi, Minat, dan Percaya Diri Siswa Kelas VII

Penelitian eksperimen semu ini bertujuan untuk mendeskripsikan keefektifan Pendekatan Saintifik, mendeskripsikan keefektifan Pendekatan PMRI, dan mendeskripsikan manakah yang lebih efektif diantara Saintifik dan PMRI ditinjau dari prestasi, minat, dan percaya diri. Populasi dalam penelitian ini adalah siswa kelas VII SMPN 2 Babadan Ponorogo Jawa Timur Indonesia dan secara acak terpilih kelas VIIB dan VIIC sebagai sampel. Teknik pengumpulan data adalah tes dan non-tes, dengan instrumen meliputi soal tes prestasi, angket minat dan percaya diri. Teknik analisis data menggunakan uji t dan Hotelling’s Trace. Hasil penelitian pada taraf signifikansi 0,05 menunjukkan bahwa Pendekatan Saintifik efektif ditinjau dari prestasi, minat, dan percaya diri. Pendekatan PMRI efektif ditinjau dari prestasi dan percaya diri, tetapi tidak efektif ditinjau dari minat. Saintifik dan PMRI sama-sama efektif ditinjau dari prestasi dan percaya diri, akan tetapi ditinjau dari minat Saintifik lebih unggul daripada PMRI.Kata kunci: pendekatan Saintifik, pendekatan PMRI, prestasi, minat, percaya diri The Comparison of the Effectiveness of Scientific and PMRI Approaches Based on the Achievement, Interest, and Self-Confidence of Students of Grade VII AbstractThis quasi-experimental research aims to describe the effectiveness of Scientific Approach, describe the effectiveness of PMRI approach, and describe which is more effective between of Scientific and PMRI Approaches in terms of the achievement, interest, and self-confidence. The population in this research were students of class VII SMPN 2 Babadan Ponorogo, East Java, Indonesia, and randomly selected VIIB and VIIC classes as a sample. The data collection techniques were a test and non-test, the instrument covers about mathematics achievement tests, questionnaires for students’ interest and self-confidence. The data were analysed using the t test and the Hotelling's Trace test. The results show that at the significance level of 0.05 the Scientific Approach is effective in terms of students’ achievement, interest, and self-confidence, while the PMRI Approach is effective in terms of learning achievement and self-confidence, but it is not effective in terms of interest. The Scientific and PMRI Approaches are equally effective in terms of learning achievement and self-confidence, but in terms of interest the Scientific Approach is superior to the PMRI Approach.Keywords: Scientific Approach, PMRI Approach, mathematics achievement, interest, self-confidence

Polar Value Analysis of Corneal Astigmatism in Intrastromal Corneal Ring Segment Implantation

Purpose.To evaluate surgically induced astigmatism (SIA) and the average corneal power change in symmetric intrastromal corneal ring segment (ICRS) implantation.Methods.The study included 34 eyes of 34 keratoconus patients who underwent symmetric Intacs SK ICRS implantation. The corneal pocket incision meridian was the preoperative steep meridian. Corneal power data were obtained before and 3 months after Intacs SK ICRS implantation using scanning-slit topography. Polar value analysis was used to evaluate the SIA. Hotelling’s trace test was used to compare intraindividual changes.Results.Three months postoperatively, the combined mean polar value for SIA changed significantly (Hotelling’sT2=0.375;P=0.006). The SIA was 1.54 D at 99° and the average corneal power decreased significantly by 3.8 D.Conclusion.Intacs SK ICRS placement decreased the average corneal power and corneal astigmatism compared to the preoperative corneal power and astigmatism when the corneal pocket incision was made at the preoperative steep meridian.