Aabel™NG2 v5 統計分析軟體
- Aabel™NG2 v5 統計分析軟體
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類別統計分析軟體
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介紹Aabel being dynamic, interactive visualization of the data, integrated (inference and multivariate) is statistics, data investigation, the scientific graph and the up-to-date powerful application which integrates drawing in the subject figure to one package.
Aabel™ NG2 v5 Statistical Analysis Software
A Unique Solver for Kernel Density Estimate With AMISE Optimal Bandwidth Analyzer
• Efficient use of Kernel density estimate, which is widely used in data mining and pattern recognition, depends on computation
of the optimal bandwidth of the kernel. While AMISE (Asympto
tic Mean Integrated Squared Error) optimal bandwidth can pro vide the best estimation, it involves extensive and time-consu
ming computation.
• Gigawiz has developed a unique hybrid solver for processing
the data and estimating the corresponding AMISE optimal
bandwidth by:
• Computing the univariate density derivatives for each data
point implementing the recommended methodology publish
ed by Raykar and
Duraiswami(2005), followed by using the Sheather and
Jones method (1991) for the actual bandwidth estimation.
• The Gigawiz hybrid solver has been stress tested using
10000 data sets, including both real world and simulated
data.
Gaussian Kernel Density Trace Charts
Gaussian kernel density trace charts including:
• A graph type whose plotting involves processing the data
and computing the AMISE optimal bandwidth (using the
Gigawiz hybrid solver) while generating the resulting chart
on the fly
• A graph type with the rule of thumb bandwidth selectors
(i.e., Silverman's approach and percentage of sample range),
for exploratory visualization of the effect of bandwidth on
kernel density estimation
• Z-Score kernel density trace
• LOWESS (Robust Locally Weighted Regression) With
Weighted Confidence Interval (CI)
• LOWESS is an outlier resistant, robust locally weighted
regression and scatter smoothing, in which the fitted
value of xk is the value of a polynomial fit to the data
using weighted least squares, where the weight for
(xi, yi) is large if xi is close to xk and small if xi is far
from xk.
• The features and graph types include:
• Exploratory LOWESS Charts
• LOWESS Residual Dependence Graph
• Adding Weighted Confidence Interval (CI) to LOWESS Curves
• Using the LOWESS of Residuals as a Diagnostic Tool*
* The residual plot can provide information for choosing a
reasonable value for the local smoothing width).
Weighted Mean
• In weighted arithmetic mean, different weights are assigned
to different data points. In ordinary arithmetic mean, all
data points are assumed to have identical weight.
• The weighted mean has no analytic analogue of the standard
error of the mean for estimating the confidence limits.
Violin Charts
A violin chart comprises a combination of box plot and density trace; violin chart types include:
• One-way violin
• Two-way violin
• Three-way violin
Bandwidth Selector Options:
• For interactive, exploratory visualization, you can choose one
of the following options:
• Silverman's approach using alpha
• Silverman's approach using IQR
• Percentage of sample range (for this option, you can obtain
the AMISE optimal bandwidth estimate (as well as the corres
ponding scaling factor)in theStats Analyzer and use the outp
ut for providing the user-defined scaling factor)
XY and Multi-profile Scatter-Line Combination Charts
XY Scatter-line combination charts*:
With data objects connected along the sorted values of Y-axis
With data objects connected along the sorted values of X-axis
* Why Combining XY Scatter and Line Chart Properties?
• In an XY scatter chart, the data points represent groups of
data objects that are plotted in the pipeline order (i.e., the
order they are stored in the worksheet)
• In a line chart, the data points represent variables plotted
along the sorted values of the Y- or X-axis.
• Combination graph types enable plotting a line chart in
which the data points represent groups of data objects.
Multi-profile scatter-line Combination Charts:
• Trends of multiple X-variables plotted across the sorted
values of a common Y-axis
• Trends of multiple Y-variables plotted across the sorted
values of a common X-axis
Group-based n-Dimensional REE/Multi-Elements Diagrams
• The newly added diagrams to specialized module of geochemic
al data provide flexibility for exploratory visualization of n-dime
nsional spidergrams generated from large data sets.
• Group-based n-dimensional REE or multi-elements diagrams
include:
• Group-based spidergrams differentiated by data object mark
ers and/or line attributes taken from the object marker color properties
• Group-based spidergrams differentiated by color bands
Open-GL Based 3D Grid Data Processor Utility
• This Open-GL utility is designed for:
• Subtracting a grid Z-values from another (e.g., generating a
grid for an isopach map)
• Subtracting a grid Z-values from a user-defined XY plane
• Subtracting a user-defined XY plane from a grid Z-values
• Multiplying a grid Z-values by a constant, e.g., converting
the Z-values from feet to meter
• Re-sampling the displayed grid by user-defined number of
grid cells along the X and Y coordinates (e.g., for increasing
resolution of a grid for volume or area calculations)
Open-GL Based 3D Grid Volume & Area Calculator Utility
• This utility is designed for calculating a number of parameters
from a matrix by applying the calculations to:
• A user-defined polygon path comprising straight segments
• The total data coverage
Enhancement of Utility Windows
• The utility windows were re-designed to be modeless for
not blocking any other activities of the application.
Optimization of Functions Interacting With Mac OS X Subsystems
• The main enhancements include:
• Making the application more resilient to design errors of the
Apple HFS+ file system
• Workaround for enhancing the graphic performance that is
affected by low-performing parts of the Quartz Graphic Syste
m
系統需求
Intel-based Mac
Mac OS X Mavericks, Yosemite, El Capitan or Sierra
A color monitor with a minimum resolution of 1440
x 900
Aabel™NG2 v5 統計分析軟體
使用 AMISE 最佳帶寬分析器進行核密度估計的獨特求解器
• 在數據挖掘和模式識別中廣泛使用的核密度估計的有效使用取決於核的
最佳帶寬的計算。雖然AMISE（漸近平均積分平方誤差）最佳帶寬可以
提供最佳估計，但它涉及大量且耗時的計算。
• Gigawiz 開發了一種獨特的混合求解器，用於處理數據並通過以下方式
估計相應的 AMISE 最佳帶寬：
• 使用 Raykar 和 Duraiswami (2005) 發布的推薦方法計算每個數據點
的單變量密度導數，然後使用 Sheather 和 Jones 方法 (1991) 進行實
際帶寬估計。
• Gigawiz 混合求解器已經使用 10000 個數據集進行了壓力測試，包括
真實世界和模擬數據。
高斯核密度軌跡圖
高斯核密度軌跡圖包括：
• 一種圖形類型，其繪圖涉及處理數據和計算 AMISE 最佳帶寬（使用
Gigawiz 混合求解器），同時即時生成結果圖表
• 具有經驗法則帶寬選擇器（即 Silverman 方法和样本範圍百分比）
的圖形類型，用於探索性可視化帶寬對核密度估計的影響
• Z-Score 核密度軌跡
• 具有加權置信區間 (CI) 的 LOWESS（穩健局部加權回歸）
• LOWESS 是一種抗異常值、穩健的局部加權回歸和散射平滑，
其中x k的擬合值是使用加權最小二乘法擬合數據的多項式的值，
其中 ( x i , y i )的權重很大如果x i接近x k並且很小如果x i遠離x k。
• 特徵和圖形類型包括：
• 探索性 LOWESS 圖表
• LOWESS 殘差依賴圖
• 將加權置信區間 (CI) 添加到 LOWESS 曲線
• 使用 LOWESS 殘差作為診斷工具*
* 殘差圖可以為選擇局部平滑寬度的合理值提供信息）。
加權平均數
• 在加權算術平均中，不同的權重分配給不同的數據點。在普通算術
平均值中，假設所有數據點具有相同的權重。
• 加權均值沒有用於估計置信限的均值標準誤的分析模擬。
小提琴圖表
小提琴圖包含箱線圖和密度軌蹟的組合；小提琴圖表類型包括：
• 單向小提琴
• 二分頻小提琴
• 三路小提琴
帶寬選擇器選項：
• 對於交互式探索性可視化，您可以選擇以下選項之一：
• Silverman 使用 alpha 的方法
• Silverman 使用 IQR 的方法
• 樣本範圍的百分比（對於此選項，您可以在 Stats Analyzer 中獲得
AMISE 最佳帶寬估計（以及相應的縮放因子）並使用輸出提供用戶
定義的縮放因子）
XY 和多剖面散點線組合圖
XY散點線組合圖*：
數據對象沿 Y 軸的排序值連接
數據對象沿 X 軸的排序值連接
*為什麼要結合 XY 散點圖和折線圖屬性？
• 在 XY 散點圖中，數據點表示按管道順序（即它們在工作表中存儲的
順序）繪製的數據對象組
• 在折線圖中，數據點表示沿 Y 軸或 X 軸的排序值繪製的變量。
• 組合圖類型支持繪製折線圖，其中數據點代表數據對象組。
多剖面散線組合圖：
• 跨公共 Y 軸的排序值繪製的多個 X 變量的趨勢
• 跨公共 X 軸的排序值繪製的多個 Y 變量的趨勢
基於組的 n 維 REE/多元素圖
• 地球化學數據專用模塊中新增的圖表為從大型數據集生成的 n 維蜘蛛圖
的探索性可視化提供了靈活性。
• 基於組的 n 維 REE 或多元素圖包括：
• 通過數據對象標記和/或從對象標記顏色屬性中獲取的線屬性區分的
基於組的蜘蛛圖
• 通過色帶區分的基於組的蜘蛛圖
基於 Open-GL 的 3D 網格數據處理器實用程序
• 此 Open-GL 實用程序旨在：
• This Open-GL utility is designed for:
• 從另一個網格中減去 Z 值（例如，為等距圖生成網格）
• 從用戶定義的 XY 平面中減去網格 Z 值
• Subtracting a grid Z-values from a user-defined XY plane
• 從網格 Z 值中減去用戶定義的 XY 平面
• Subtracting a user-defined XY plane from a grid Z-values
• 將網格 Z 值乘以常數，例如，將 Z 值從英尺轉換為米
• 沿 X 和 Y 坐標通過用戶定義的網格單元數對顯示的網格進行重新採樣 （例如，用於增加用於體積或面積計算的網格的分辨率）
基於 Open-GL 的 3D 網格體積和麵積計算器實用程序
• 此實用程序旨在通過將計算應用於以下矩陣來計算多個參數：
• 包含直線段的用戶定義多邊形路徑
• 總數據覆蓋
實用程序窗口的增強
• 實用程序窗口被重新設計為無模式，不會阻止應用程序的任何其他
活動。
優化與 Mac OS X 子系統交互的函數
• 主要改進包括：
• 使應用程序對 Apple HFS+ 文件系統的設計錯誤更具彈性
• 用於增強受 Quartz 圖形系統低性能部分影響的圖形性能的解決方法
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