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Instead of using the sums of the market caps of all component stocks in the index’s numerator, the Dow takes the sum of the prices of its 30 component stocks. Thus, a one-point move in any one of the component stocks will cause the index to move by an equivalent number of points. As of July 2024, Microsoft (MSFT) has the largest market cap among stocks in the index, at about $3.2 trillion. Walmart (WMT), with a market capitalization of about $569 billion, has only a 0.63% weighting in the S&P.

• Until now, there have many R scripts that each enable calculation of some stability parameters.
• Furthermore, for identifying highly productive and stable genotypes, we can also use a biplot based on the WAASB and grain yield.
• Zali et al. [42] also proposed the absolute value of relative contribution IPCA as another statistic to measure of stability.
• Where μ, gi, and ei are the grand mean, the main effect of the genotype i, and the main effect of environment j, respectively.
• Index funds spread your investment risk across the stocks or bonds of many different individual companies.
• If you really hate the idea of any price volatility, you might want to invest more of the fixed income portion of your portfolio in a stable value fund than in a core bond fund.
• In other words, the breeder using these tools can better interpret the GEI effect and select the best genotypes with an acceptable accuracy.

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Becker [8] stated that this concept is analogous to the agronomic concept of stability, and most breeders prefer to apply it to select high yielding genotypes in their METs. However, it is worth noting that there is no absolute decision on classifying stability parameters based on dynamic and static concepts. For instance, in many studies, some stability parameters have a dynamic concept due to their correlation with yield performance. Hence, we believe that dynamic and static concepts depend on the nature of data and test environments and that classifying them in an absolute scale is not logical. Stability analyses are evolving continuously to add precision to the GEI component.

The distribution

The method of calculating the S&P 500 results in an index that is weighted toward large-cap companies. The weighted average market capitalization of each component is determined by dividing the market cap of the company by the index’s total market cap. Apple’s weighting is determined by taking its market capitalization and dividing it by the total index market cap.

• Companies that pose little ESG-related risk often deliver superior financial performance, making ESG funds, such as the Fidelity U.S. Sustainability Index Fund, a good choice for long-term investors.
• Thus, we have collected statistics, as well as models and their equations, to explore these methods further.
• There are numerous reports related to the use of non-parametric methods in analyzing the GEI effect and selection of stable genotypes in different crops.
• First, it is very difficult for a government to support its citizens if there is no stability.
• Furthermore, they were able to predict the genetic gain and accrue estimations of performance using the BLUP model.
• In a study conducted by Dehghani et al. [64], integrating parametric and nonparametric statistics results in identifying the most stable tall fescue genotypes in METs.
• The ETF offers investors a way to capture the growth of several booming trends.

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So, it’s unsurprising that the SPDR S&P 500 Dividend ETF had much smaller losses than the S&P 500 in 2022 or that it underperformed compared to the S&P 500 in 2023 and the first four months of 2024. Alternately, you can make a histogram to shown the change in distributions for each bucket. This way, the difference between the actual and estimated becomes quite explicit, and you will know in which range of values the data drift is more pronounced.

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Progress in computer sciences and programming languages has resulted in the advent of various script codes and software that help breeders to analyze the big data sets in their experiments. In other words, the breeder using these tools can better interpret the GEI effect and select the best genotypes with an acceptable accuracy. For AMGE1, N is one; for AMGEV, N is the number of IPCs that are retained in the AMMI model via validation procedures; for AMGEF, N is the number of IPC that retain in the AMMI model via F-tests. Farshadfar [41] developed a stability statistic based on the rank of mean yield of genotype across environments (RY) and rank of ASV value (RASV). According to this criterion, a genotype with the highest value of GSI would be more stable. As shown in the following equation, ith genotype is deleted from the entire set of data, and the GEI variance from this subset is the stability index for the ith genotype [18].

Associated Data

In the static concept, a specific stable genotype has a performance that is unaffected by the environmental conditions. Furthermore, this concept is analogous to the biological concept of stability such that the yield performance of a stable genotype has an environmental variance near to zero [6]. The dynamic concept Stable Index states that a stable genotype has no deviation from predictable response to environments. In other words, the performance of a stable genotype is accordance with the estimated level or the prediction for each environment. Thus, the genotypic response to environmental conditions is not equal for all genotypes.

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It seems that to allow better decisions on the selection of the superior genotypes, a complex of parametric and non-parametric stability statistics can be used as an additional tool. Hence, in each experiment, attention to the causes of GEI is very important and should be dissected. In this review, we tried to gather all statistical models and their related statistics that can help breeders for their breeding aims. Furthermore, we anticipate that the presented information regarding software and packages can help breeders to accelerate their data analysis and to compare different models and methods. In this experiment, AMMI-based stability parameters such as ASI, ASV, ASTAB, AVAMGE, Da, EV, FA, MASI, and SIPC showed a positive and significant correlation with mean yield. Moreover, they stated that although the mentioned parameters have a dynamic concept of stability, only some of them, such as SIPC, MASI, and MASV, were useful for the identification of stable high-yielding genotypes.

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This is clear that the last statistics will be less precise than W(AMMI), as is evident from the fact that they could not exploit the information in detail. In other words, the reliability of a stability statistic improves with the increase in the number of axes retained in the model. For EV1, N is one; for EVV, N is the number of IPC that retain in the AMMI model via validation procedures; and for EVF, N is the number of IPC that retain the AMMI model via F-test. Genotypes with the lowest values for these statistics are identified as the most stable.

Deciphering GE Interaction Using Different Statistical Methods

This software is compatible with UNIX platforms, Windows, and MacOSX, and it provides information on both Pearson’s and Spearman’s rank-order correlation coefficients among measured stability statistics. It’s this so-called insurance wrapper that enables stable value funds to deliver the higher yields of short-term bonds with the same low-risk of a money market mutual fund. Many stable value funds spread their insurance contracts among multiple insurers or banks to add an important layer of risk diversification. That way if one insurer defaults or is unable to meet its obligations, the fund overall won’t lose much, if any, money.

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In addition, there was a riot at the US Capitol on January 6th after the most recent presidential election, indicating that there were a lot of people who were embracing conspiracy theories about elections in the United States. Even though the country is still relatively stable, this is something that has been tested recently. † AMMI model and related biplots; †† the biplot obtained by interpreting GEI effect. QQQM includes 100 of the biggest nonfinancial companies listed on the Nasdaq. It also includes at least 90% of the assets on the NASDAQ-100 index and is rebalanced quarterly.

The Vanguard ETF may also appeal to investors concerned about inflation since real estate is traditionally seen as a hedge against rising prices elsewhere. Consumer staples and utility stocks each make up less than 1% of the fund’s value. As of April 30, 2024, the fund’s average annual return over five years (before taxes) was almost 16% compared to about 13% for the S&P 500. As tech stocks surge, the Vanguard Growth ETF has outperformed the S&P 500 in the first four months of 2024. Our picks for the nine best index funds for this year can help you accomplish a variety of investment goals. An index fund can be either a mutual fund or an exchange-traded fund (ETF), both of which are managed by investment advisers who have to register with the U.S.

Based on the AMMI’s output, several stability statistics have been proposed by different researchers for evaluating genotypes. Since the rank of genotypes in the specific environments cannot be done according to the phenotypic values, the stability of test genotypes has to be estimated independently of the genotypic effect. To solve this challenge, a correction of ranking patterns of test genotypes and environments based on the corrected phenotypic values was developed.

Investors buy shares of mutual funds directly from asset management companies, while shares in ETFs are purchased and sold through stock exchanges. In other words, if sums of independent, identically distributed random variables converge in distribution to some Z, then Z must be a stable distribution. Where IPCA1 and IPCA2 are the scores of the two first principal component interactions, respectively. Θ12 and θ22 are percentage sum of squares explained by the first two IPCAs effects, respectively. Where θn is the percentage sum of squares explained by the nth IPCA and N is the number of IPC that are retained in the AMMI model via the F-test.

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Four NP(1–4) statistics are a set of alternative non-parametric stability statistics defined by Thennarasu [33]. Indeed, these parameters are based on the ranks of adjusted means of the genotypes in each environment. This statistic was introduced by Kang [29] to select high-yielding and stable corn genotypes across various environments.

It is clear that the selection of genotypes for target environment(s) is affected by the GEI effect. For this reason, over the three past decades, numerous statistical models and approaches have been proposed to analyze GEI as well as identify the high-yielding and most stable genotypes. This fact is not unexpected in that each stability parameter or statistic result shows a specialist ranking pattern for genotypes. Some of these models are based on the genotypic contribution to GE variance, and some are based on G + GE (e.g., univariate or multivariate). Models and/or methods based on G + GE are more repeatable if they are calculated within mega-environments because mean yield is more repeatable.

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Volatility profiles based on trailing-three-year calculations of the standard deviation of service investment returns. More money has been lost waiting to buy stocks than in holding stocks through downturns. Suppose blue was expected, and the red was actual, on plotting the distributions of the variables, one with larger PSI will have a larger gap between actuals and expected. In addition to monitoring the scoring variable, you also want to calculate the PSI for features as well. Because if a feature with strong predictive power is prone to rapid changes, we might rethink about having those features in the model.

Data Availability Statement

GENES is a software package used for data analysis and processing with different biometric models for genetic studies applied to plant and animal breeding. It allows parametric and non-parametric stability statistics to be computed and presents integration with MS Word, MS Excel and Paint. It is also compatible with the free software R and Matlab, through the supply of useful scripts available for complementary analyses in different areas [99].

After then, Hussein et al. [106], Akbarpour et al. [107], and Dia et al. [108] developed other codes that enable breeders to calculate other stability statistics. Among these, the SAS macro code developed by Dia et al. [108]––which has been called SASG×E––is more complete compared to other codes. The capability of different software for computing the stability statistics.

In the above equations, N and K are the number of environments and genotypes, respectively. Like the other S&P 500 funds on this list, this fund gives exposure to 500 of the largest U.S. companies, which make up about 75% of the U.S. stock market’s total value. NerdWallet, Inc. is an independent publisher and comparison service, not an investment advisor. Its articles, interactive tools and other content are provided to you for free, as self-help tools and for informational purposes only.

Where λn and γin are the eigenvalue of the nth IPCA retained in the AMMI model and the eigenvector for the ith genotype from nth IPCA, respectively. The coefficient of variation is suggested by Francis and Kannenberg [25] as a parametric stability statistic through the combination of the coefficient of variation, mean yield, and environmental variance. Founded in 1990, the fund’s expense ratio is competitive with other providers. As research firm Morningstar notes, this is one of the cheapest S&P 500-tracking funds out there.

In general, non-parametric stability parameters are easy to use and interpret. Furthermore, any deletions or additions of one or a few genotypes have no significant effects on the results. In this regard, if breeders are only interested in the existence of rank order differences across environments, these methods provide the best alternative to parametric models currently used. Hence, the relative comparisons of the tested genotypes are more important than absolute comparisons. As non-parametric methods are based on rank values, a target genotype is considered stable if it reveals a constant ranking pattern across different environments.

• The number of exchange-traded funds (ETFs) on the U.S. markets that track the index.
• We are dealing with the largest land war in Europe since WWII, there is a global pandemic that continues to wreak havoc on most of the world, and there are autocrats who are seeking to throw us into a new Cold War.
• Below, we’re looking at some of the best index funds that track the S&P 500 and Nasdaq-100 indexes.
• Since index funds are passively managed, they are actually more likely to outperform funds with active managers over the long term.
• This software is compatible with UNIX platforms, Windows, and MacOSX, and it provides information on both Pearson’s and Spearman’s rank-order correlation coefficients among measured stability statistics.
• A genotype is considered to be more stable when the value of this statistic is lower.
• They reported that the ASV and YSI parameters allow selecting stable genotypes across environments.
• Furthermore, we anticipate that the presented information regarding software and packages can help breeders to accelerate their data analysis and to compare different models and methods.

Afzl et al. [51] reported that among non-parametric stability statistics, S(1), S(3), S(6,) and NP(4) with a dynamic concept are superior to evaluate high-yielding and stable safflower genotypes. In another study in canola, Mortazavian and Azizinia [52] reported that for nonparametric methods, TOP, Si(1), and RK parameters were useful in detecting the stability of the genotypes. Non-parametric analysis of the phenotypic stability in chickpea genotypes showed that TOP and RK parameters are ideal measurements for identify the most stable genotypes [53]. Furthermore, Vaezi et al. [54] have highlighted the usefulness of RK, S(3), S(6), NP(2), NP(3), and NP(4) parameters in selecting high-yielding and stable barley genotypes across different diverse environments.